Systems of Linear Equations: The Substitution Method [fbt]

This video by Fort Bend Tutoring shows the process of solving a system of linear equations using the substitution method. Six (6) examples are worked out and explained. This math concept, systems of linear equations, is used in all algebra classes, geometry, finite mathematics, precalculus and calculus courses. Instruction for solving systems of equations by substitution by Larry "Mr. Whitt" Whittington. Intro/Outro by Chuck Knipp's Shirley Q. Liquor. Fort Bend Tutoring Substitution (fbt tutoring)
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Systems of Linear Equations: The Elimination (Addition) Method
• Systems of Linear Equa...
Systems of Linear Equations: The Graphing Method (Is my teacher setting me up?)
• Systems of Linear Equa...
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Пікірлер: 131

  • @myleneauditore9538
    @myleneauditore95388 жыл бұрын

    Wow, five minutes in and I'm understanding this in aspects I didn't think I could. There was something about the way my teacher worded these concepts that I simply couldn't grasp - but you've made it so easy. I'm so happy.

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    Glad 2 hear it and happy 2 help! We appreciate you watching Mylene!

  • @edwardjones5930
    @edwardjones593010 жыл бұрын

    Mr. Whitt make's even learning hard math very easy, thanks once again.

  • @FortBendTutoring

    @FortBendTutoring

    10 жыл бұрын

    My pleasure! Thanks for posting!

  • @FortBendTutoring

    @FortBendTutoring

    2 жыл бұрын

    Hello Joshua. -1.6 is equal to -8/5. It’s the same value written differently.

  • @allisonbright7472
    @allisonbright74728 жыл бұрын

    I don't know how I survived these past few months without this channel. MY LIFE IS (almost) SAVED!!!! YESSS!!!

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +GrayKat Just a bit longer! Lol We're happy we were able 2 help! :-)

  • @allisonbright7472

    @allisonbright7472

    8 жыл бұрын

    +Fort Bend Tutoring yeah the thing is that my math end of year exam is on my birthday... :(

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +GrayKat Now that just sounds like the best birthday present anyone could get 2 us! lol

  • @allisonbright7472

    @allisonbright7472

    8 жыл бұрын

    +Fort Bend Tutoring math is my very WORST subject... I've always hated math... >.< it's so frustrating!! UGH!!

  • @James-cp2nz
    @James-cp2nz8 жыл бұрын

    FBT and Mr. Witt is awesome!!! I am 45 and starting life over, while back in college. I have not practiced math(College Algebra) in 25 yrs. I spent a lot of time trying to figure out my professors teachings with KZread searches(zombies). I just found you- with finals coming up. I learned everything in 3 days watching you, than in 4 months of listening to him and I enjoy it!!! Get those arrows poppin'!!! Thank You, old dog, learning new tricks.

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +James 2112 Happy 2 help James! Keep at it and you'll be flying through the content in no time at all! Thanks 4 watching!

  • @Louise1080
    @Louise10807 жыл бұрын

    I really appreciate the clear explanations. You go step by step. Thank you

  • @latanyasm17
    @latanyasm175 жыл бұрын

    My brain just had a mental workout. I paused the video and worked something's out on my own to see if I could achieve it as he went from step to step. I definitely received a well needed lesson for a test I'm preparing for. Thanks Mr. Whitt 👍

  • @FortBendTutoring

    @FortBendTutoring

    5 жыл бұрын

    That’s wonderful Latanya! Good luck on your Texes!👊🏾

  • @catlady715
    @catlady7158 жыл бұрын

    Thank you, Mr. Whitt!! Your explanations are the best on the internet. I may just pass this math class after all.

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    I'm rooting 4 you Michele! Thanks 4 your feedback!

  • @joypeace8065
    @joypeace80658 жыл бұрын

    I am so glad I found this channel!!! You make it so easy for me to understand!!

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +joy peace I'm glad you found us as well! Thanks 4 the feedback! :-)

  • @vysp17
    @vysp175 жыл бұрын

    Question in 5:42 ho did u get 40/5 ? I got confused Is it like u multiplied 2 (-8/5) + 8 I get the -16/5 but for the 40/5 did u multiply 5 and 8 then put the same denominator?

  • @jeffschulte4630
    @jeffschulte46308 жыл бұрын

    omg at the beggining i was like wtf

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +Jeff Schulte lol Thanks 4 hanging in there Jeff!

  • @EarthScholar
    @EarthScholar6 жыл бұрын

    These intros slay me! lol! But the tutorials are always on point.

  • @mo3237
    @mo32377 жыл бұрын

    Thank You [fbt] for the great tutor.. You Made it way easy than our teacher.!!!!!! Love it. Thanks

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +ilmr 1424 You're very welcome! Thanks 4 watching!

  • @stotmom
    @stotmom7 жыл бұрын

    I love these!!! keep up the great work!!

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +Gail Stotlar I'll do my best Gail! Thanks 4 the support!

  • @MariahMtz1596
    @MariahMtz15968 жыл бұрын

    Your videos are simply the best! Super easy to understand, and I have another test tomorrow and I hope I do well. Thank you!^^

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +Mariah Martinez Hope you did well on your test today Mariah! Thanks so much 4 the feedback! :-)

  • @dalenarichardson512
    @dalenarichardson51210 жыл бұрын

    I'll certainly be back, Mr Whitt makes the complicated look simple. thanks again

  • @FortBendTutoring

    @FortBendTutoring

    10 жыл бұрын

    Sounds good! We're open 24/7! LOL

  • @FayBod
    @FayBod7 жыл бұрын

    Your videos are so helpful!!!.. This has truly brought my grades up. Thank you Mr. Whitt!!:)

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +FancyFay Thanks 4 your testimony FancyFay! Happy 2 help!

  • @mjcard
    @mjcard5 жыл бұрын

    Thanks for the help. I like the Intro and outro too. You're very easy to learn from.

  • @FortBendTutoring

    @FortBendTutoring

    5 жыл бұрын

    My pleasure mjcard! Thanks 4 the feedback! 👨🏾‍🏫😀

  • @MuneemIslam
    @MuneemIslam7 жыл бұрын

    thnx it helps me on pre algebra and really helpful that it has every subject on algebra

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +muneem islam Happy 2 help Muneem! Thanks 4 the feedback! :-)

  • @Draceus
    @Draceus7 жыл бұрын

    You make learning fun man keep up the good work!

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    Thanks 4 your support Draceus! I'll do my best!

  • @briandavis1307
    @briandavis13075 жыл бұрын

    HAPPY NEW YEAR!!!! Mr. Whitt

  • @FortBendTutoring

    @FortBendTutoring

    5 жыл бұрын

    Happy New Year Brian! I really appreciate it!👨🏾‍🏫😁

  • @hillandhillpress726
    @hillandhillpress7269 жыл бұрын

    Great presentation! Impressive! Thank-you!

  • @FortBendTutoring

    @FortBendTutoring

    9 жыл бұрын

    You're very welcome!

  • @paulbuschman8318
    @paulbuschman83188 жыл бұрын

    You're making it a pleasure to relearn this stuff, "uh-huh"...thank you!

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    lol You're very welcome Paul! Thanks 4 watching!

  • @rhinniee1126
    @rhinniee11263 жыл бұрын

    Thank you very much mister whitt! With this I can surprise my parents with a high score for my quiz in this subject especially since math is a hard subject for me ✨

  • @FortBendTutoring

    @FortBendTutoring

    3 жыл бұрын

    Happy 2 help Anime Steticz! Good luck on your quiz. I’m rooting 4 you! 👨🏾‍🏫😁

  • @FortBendTutoring
    @FortBendTutoring9 жыл бұрын

    ESPSydney Bryant 40/5 is an equivalent fraction for 8. We took 8/1 and multiplied the numerator and denominator by 5 (in other words, multiplied by 1 using the form 5/5).

  • @cameronbanasiak9627

    @cameronbanasiak9627

    7 жыл бұрын

    Fort bend tutoring can you do a video on linear models please

  • @adriansegundo2401
    @adriansegundo24017 жыл бұрын

    When I watched it I felt like a math genius! Thanks for the video!

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    lol You are a math genius Adrian and you're very welcome!

  • @bellabaker3309
    @bellabaker33096 жыл бұрын

    very very helpful!!!

  • @erick._150
    @erick._1509 жыл бұрын

    Very helpful. Thanks!

  • @FortBendTutoring

    @FortBendTutoring

    9 жыл бұрын

    You're very welcome!

  • @jazzeyt123
    @jazzeyt12311 жыл бұрын

    wow I so needed this video, have a test coming monday on subsitution method and elimination, If you haven't already will you be doing one for the elimination method also. thanks.

  • @vapor.supreme9555
    @vapor.supreme95558 жыл бұрын

    fbt I like it when u say poppin them arrows lol

  • @acerenner
    @acerenner6 жыл бұрын

    Thank you Mr. Whitt 👐

  • @FortBendTutoring

    @FortBendTutoring

    6 жыл бұрын

    My pleasure Charles! Thanks 4 watching! :-)

  • @chelsashepard4102
    @chelsashepard41028 жыл бұрын

    love you guys

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    We love you 2 Chelsa!

  • @msullivan6761
    @msullivan67617 жыл бұрын

    do you have a video re solving system of equations with 3 variables? Ive searched n searched...

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +m sullivan Not at this time M. Check out our recommended channels list.

  • @pdfleaderx8863
    @pdfleaderx88637 жыл бұрын

    Amazing.. I love it

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +White Eagle Gaming09 Thanks so much 4 the support!

  • @carlosmiguelmiranda6563
    @carlosmiguelmiranda65637 жыл бұрын

    Thank you very much!

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +Carlos Miguel Miranda You're very welcome Carlos! Thanks 4 watching!

  • @msullivan6761
    @msullivan67617 жыл бұрын

    by the way, awesome, awesome video.

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +m sullivan Thanks 4 the feedback! I really appreciate it!

  • @smileya1528
    @smileya15287 жыл бұрын

    I love your teaching style! Do you have a video of linear equations in three variables?

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    Thanks! Not yet, but I'll add it 2 my list!

  • @ruchipatel8578
    @ruchipatel85788 жыл бұрын

    this is pure perfect

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    Happy 2 help Ruchi! Thanks 4 watching!

  • @uncrownedkingzz
    @uncrownedkingzz10 жыл бұрын

    I think what you are doing is great. the way you explains things in the sense that it is absolute helps me understand and accept what is being taught. Any chance you could allow a pause or prompt on maybe the third or fourth problem to allow time for someone to try the problem out? Or designate a problem for us to work out? thanks Mr. Whitt!!

  • @FortBendTutoring

    @FortBendTutoring

    10 жыл бұрын

    Great suggestion! I'll consider it. In the meantime, if the next problem looks similar press pause and try to solve it or do a similar odd problem in your textbook. Most likely you'll find the odd answers in the back of your text. Thanks for the feedback!

  • @FortBendTutoring
    @FortBendTutoring11 жыл бұрын

    We've just uploaded our video for the elimination method! Good luck on your test!

  • @MsDera81
    @MsDera813 жыл бұрын

    In problem 5, why did the -5y/3 change to -5/3y? Is there a video explaining when to move the variable?

  • @shomarihunter5380
    @shomarihunter53807 жыл бұрын

    My kiddos love Mrs. Shirley at the beginning lol

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    lol Happy 2 hear it Shomari! Thanks 4 sharing!

  • @odellbutler9721
    @odellbutler97217 ай бұрын

    Where did the 5y come from in example #2? Thank you.

  • @FortBendTutoring

    @FortBendTutoring

    7 ай бұрын

    Hello Odell! The 5y is the sum of 4y and y. When combining like terms, you add the coefficients of the terms. In this case you’re adding the 4 in 4y and the 1 in 1y.

  • @odellbutler9721

    @odellbutler9721

    7 ай бұрын

    Thank you. Now I understand.

  • @FortBendTutoring
    @FortBendTutoring11 жыл бұрын

    Yes, we are working on the elimination video and will try to have it uploaded before Monday. Thanks for the comment!

  • @MsDera81

    @MsDera81

    3 жыл бұрын

    How did you get the 40/5 for problem number 2?

  • @FortBendTutoring

    @FortBendTutoring

    3 жыл бұрын

    Hello MsDera426! I rewrote 8 as 8/1, then multiplied the numerator and denominator by 5 to get an equivalent fraction 40/5. This was all done to get fractions with the same denominator so that I could add them. kzread.info/dash/bejne/jJx_o7qThZPaqbQ.html

  • @MsDera81

    @MsDera81

    3 жыл бұрын

    @@FortBendTutoring Thanks. I was trying to figure it out by myself but was at work. And thanks for the link to your other video. I need a refresher on some of the basic math. Your videos are extremely helpful because you explain what you are doing and why. I believe that with the help of GOD and your videos, I will pass my college algebra class. Thank you so much.

  • @jennalmond2424
    @jennalmond24249 жыл бұрын

    you're really amazing, my finals is near but i know that i will pass my algebra, am just curious if you have exponential in this substitution of algebraic method

  • @FortBendTutoring

    @FortBendTutoring

    9 жыл бұрын

    Our Exponential Equations video can be found here: kzread.info/dash/bejne/i2GEw6igdqeyis4.html

  • @allishangout2141
    @allishangout21417 жыл бұрын

    Do u have a video on graphing linear equations in two variables? Or is this it?

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    We have 3 videos on that topic. Here's one: kzread.info/dash/bejne/doqAsdh7fMS2nLQ.html

  • @allishangout2141

    @allishangout2141

    7 жыл бұрын

    Fort Bend Tutoring Ok thanks!

  • @Davidwolfblood
    @Davidwolfblood3 жыл бұрын

    Hello Mr. Whitt! I’m just curious, For multiplying decimals and subtracting. On problem 6 towards the end, How did you get 1.6? Did you multiply the 2 by the 8 but brought down the decimal to separate them and how did you get .4 from 1.6-2 wouldnt it just be 1.4?

  • @FortBendTutoring

    @FortBendTutoring

    3 жыл бұрын

    I multiplied -2 times -0.8 to get 1.6. I believe you may have missed the -0.8 because it’s written as (-.8).

  • @Davidwolfblood

    @Davidwolfblood

    3 жыл бұрын

    @@FortBendTutoring Ah! Understood!

  • @143LEXI23
    @143LEXI239 жыл бұрын

    Do you have to get rid of the fractions or can you just solve the equation with them

  • @FortBendTutoring

    @FortBendTutoring

    9 жыл бұрын

    You can solve the problem with the fractions. Clearing the fractions first is just a personal preference of mine. Thanks 4 the inquiry!

  • @jareboo6685
    @jareboo66857 жыл бұрын

    in 13:05, can we get rid of the fractions by multiplying them to 3? sorry if I didn't get it.

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +Jannelle Rebadavia This should help: kzread.info/dash/bejne/Y2SIrMiIqZauXdo.html

  • @jareboo6685

    @jareboo6685

    7 жыл бұрын

    Thank you very much

  • @sofia9127
    @sofia91276 жыл бұрын

    can you make a video that includes quadratics with substitution and elimination?

  • @FortBendTutoring

    @FortBendTutoring

    6 жыл бұрын

    I believe this has some: Nonlinear Systems Pt. 1 (feat. Texas Instruments Graphing Calculator TI-Nspire CX CAS) [fbt] kzread.info/dash/bejne/mINrqtCihtSzfc4.html I'll be sure to make some more in the future!

  • @sofia9127

    @sofia9127

    6 жыл бұрын

    Fort Bend Tutoring thank you!!! I can always rely on you

  • @stephenprice3357
    @stephenprice33578 жыл бұрын

    Does slope intercept work also?

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +Stephen Price You may be referring to the elimination method. Slope-Intercept form is used to write, graph and evaluate linear equations. Check this video out: kzread.info/dash/bejne/hYOa0ralea7Up5M.html

  • @Rebeccaoseni89
    @Rebeccaoseni896 жыл бұрын

    why do you solve for x sometimes and y sometimes?

  • @FortBendTutoring

    @FortBendTutoring

    6 жыл бұрын

    I pick the “easiest”variable to solve for. Sometimes it’s an x, other times it’s a y. The choice is arbitrary.

  • @ericchhun8116
    @ericchhun81168 жыл бұрын

    how would you solve 3x+4=-y and 2x+y=0 using the substition method

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +Eric chhun Setup a paid tutorial session at www.TutorMeMath.net. I'll be happy 2 tell you!

  • @donkapetkova8377
    @donkapetkova83779 жыл бұрын

    the best

  • @FortBendTutoring

    @FortBendTutoring

    9 жыл бұрын

    Thanks Donka! Happy 2 help!

  • @MsDera81
    @MsDera818 жыл бұрын

    Can anyone explain to me why at 12:37, he chose the second equation to solve for x? i just need to know what the secret is to being able to tell which equation is easier to solve for.

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +MsDera426 In that instance, there wasn't an "easiest" variable to solve for. Just know that some choose based on the number of steps and others choose a variable to solve for based on how small the coefficient is. It's a personal choice and "easy" is relative to each individual's belief as to what "easy" is. You'll know which variable is easiest for you with experience. Until then any variable you isolate will help solve the problem. In the meantime, you can use this as a guide as to which variable to pick.

  • @aakashkarajgikar3935
    @aakashkarajgikar39352 жыл бұрын

    8:46 We will also need infinitely many solutions for our answer to check if we got the answer correct or not, like when we are converting from one form to another. If we have one solution or no solution, then we made some mistake that has to be fixed. Otherwise, if we have infinitely many solutions to the system, then we are AOK.

  • @chantalfoster5807
    @chantalfoster58077 жыл бұрын

    where did that 2y come from once the 2y had been canceled out? this is simple... I think

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +chantal foster The 2y was added to both sides of the equal sign. It was only cancelled out on the left side of the equal sign.

  • @christophermanley9266
    @christophermanley92667 жыл бұрын

    My Arrows are Poppin!!! Thanks

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +Christopher Manley Awesome Christopher! Keep those ARROWS POPPIN'! Lol

  • @berylmoreau838
    @berylmoreau8388 жыл бұрын

    I swear, I'm gonna start putting my negative signs in neon....grrrrrr

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +Beryl Moreau lol That just might do the trick Beryl! :-)

  • @inspiritmackieyeol4071
    @inspiritmackieyeol40717 жыл бұрын

    it is very different from my Professor's explanation,, What happen??

  • @FortBendTutoring

    @FortBendTutoring

    7 жыл бұрын

    +ShaSha Nailymkhan I don't know? Are you looking at the same concept?

  • @VozDeTrompeta
    @VozDeTrompeta6 жыл бұрын

    3 + -2y = 3? Help i got stuck

  • @FortBendTutoring

    @FortBendTutoring

    6 жыл бұрын

    Subtract 3 from both sides, then divide by -2.

  • @Sydney432hz
    @Sydney432hz9 жыл бұрын

    ON THE SECOND EQUATION, HOW DO YOU GET 40/5 BY MULTIPLYING 2 X 8 WITH a denominator OF 5 ????????????????????????

  • @TheLocas30

    @TheLocas30

    8 жыл бұрын

    same question ... a bit confuse! 😞

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +Lo C Same answer...check out our response above.

  • @TheLocas30

    @TheLocas30

    8 жыл бұрын

    +Fort Bend Tutoring ooohhh thank you. I see ... love this channel!👏

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    +Lo C Great! This channel loves you! ;-)

  • @fatmamurad548
    @fatmamurad5485 жыл бұрын

    Why is 10 the common factor

  • @FortBendTutoring

    @FortBendTutoring

    5 жыл бұрын

    Finding the Least Common Denominator (LCD or LCM) [fbt] kzread.info/dash/bejne/n6OAxsmkd83Yh6w.html

  • @legomaster3189
    @legomaster31898 жыл бұрын

    funny intro

  • @FortBendTutoring

    @FortBendTutoring

    8 жыл бұрын

    Thanks! I appreciate the feedback!

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