Systems of Linear Equations: The Substitution Method [fbt]

Рет қаралды 75,370

11 жыл бұрын

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
kzfaq.info/get/bejne/ibWWo7edrrHSp2Q.html
Systems of Linear Equations: The Graphing Method (Is my teacher setting me up?)
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Пікірлер: 131

@edwardjones5930 10 жыл бұрын

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

@FortBendTutoring 10 жыл бұрын

My pleasure! Thanks for posting!

@FortBendTutoring 2 жыл бұрын

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

@allisonbright7472 8 жыл бұрын

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

@FortBendTutoring 8 жыл бұрын

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

@allisonbright7472 8 жыл бұрын

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

@FortBendTutoring 8 жыл бұрын

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

@allisonbright7472 8 жыл бұрын

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

@myleneauditore9538 8 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 8 жыл бұрын

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

@Louise1080 7 жыл бұрын

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

@James-cp2nz 8 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 KZfaq 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 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!

@catlady715 8 жыл бұрын

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

@FortBendTutoring 8 жыл бұрын

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

@latanyasm17 5 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 5 жыл бұрын

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

@joypeace8065 8 жыл бұрын

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

@FortBendTutoring 8 жыл бұрын

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

@dalenarichardson512 10 жыл бұрын

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

@FortBendTutoring 10 жыл бұрын

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

@MuneemIslam 7 жыл бұрын

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

@FortBendTutoring 7 жыл бұрын

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

@mo3237 7 жыл бұрын

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

@FortBendTutoring 7 жыл бұрын

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

@EarthScholar 6 жыл бұрын

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

@MariahMtz1596 8 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 8 жыл бұрын

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

@hillandhillpress726 9 жыл бұрын

Great presentation! Impressive! Thank-you!

@FortBendTutoring 9 жыл бұрын

You're very welcome!

@stotmom 7 жыл бұрын

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

@FortBendTutoring 7 жыл бұрын

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

@adriansegundo2401 7 жыл бұрын

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

@FortBendTutoring 7 жыл бұрын

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

@mjcard 5 жыл бұрын

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

@FortBendTutoring 5 жыл бұрын

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

@erick._150 9 жыл бұрын

Very helpful. Thanks!

@FortBendTutoring 9 жыл бұрын

You're very welcome!

@bellabaker3309 6 жыл бұрын

very very helpful!!!

@FayBod 7 жыл бұрын

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

@FortBendTutoring 7 жыл бұрын

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

@Draceus 7 жыл бұрын

You make learning fun man keep up the good work!

@FortBendTutoring 7 жыл бұрын

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

@rhinniee1126 3 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 3 жыл бұрын

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

@briandavis1307 5 жыл бұрын

HAPPY NEW YEAR!!!! Mr. Whitt

@FortBendTutoring 5 жыл бұрын

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

@jazzeyt123 11 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.

@acerenner 6 жыл бұрын

Thank you Mr. Whitt 👐

@FortBendTutoring 6 жыл бұрын

My pleasure Charles! Thanks 4 watching! :-)

@paulbuschman8318 8 жыл бұрын

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

@FortBendTutoring 8 жыл бұрын

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

@pdfleaderx8863 7 жыл бұрын

Amazing.. I love it

@FortBendTutoring 7 жыл бұрын

+White Eagle Gaming09 Thanks so much 4 the support!

@carlosmiguelmiranda6563 7 жыл бұрын

Thank you very much!

@FortBendTutoring 7 жыл бұрын

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

@FortBendTutoring 9 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 7 жыл бұрын

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

@jeffschulte4630 8 жыл бұрын

omg at the beggining i was like wtf

@FortBendTutoring 8 жыл бұрын

+Jeff Schulte lol Thanks 4 hanging in there Jeff!

@ruchipatel8578 8 жыл бұрын

this is pure perfect

@FortBendTutoring 8 жыл бұрын

Happy 2 help Ruchi! Thanks 4 watching!

@chelsashepard4102 8 жыл бұрын

love you guys

@FortBendTutoring 8 жыл бұрын

We love you 2 Chelsa!

@FortBendTutoring 11 жыл бұрын

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

@vysp17 5 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?

@msullivan6761 7 жыл бұрын

by the way, awesome, awesome video.

@FortBendTutoring 7 жыл бұрын

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

@smileya1528 7 жыл бұрын

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

@FortBendTutoring 7 жыл бұрын

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

@shomarihunter5380 7 жыл бұрын

My kiddos love Mrs. Shirley at the beginning lol

@FortBendTutoring 7 жыл бұрын

lol Happy 2 hear it Shomari! Thanks 4 sharing!

@vapor.supreme9555 8 жыл бұрын

fbt I like it when u say poppin them arrows lol

@FortBendTutoring 11 жыл бұрын

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

@MsDera81 3 жыл бұрын

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

@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. kzfaq.info/get/bejne/kM57dLuLupbYqYU.html

@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.

@donkapetkova8377 9 жыл бұрын

the best

@FortBendTutoring 9 жыл бұрын

Thanks Donka! Happy 2 help!

@uncrownedkingzz 10 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 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!

@MsDera81 3 жыл бұрын

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

@jennalmond2424 9 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 9 жыл бұрын

Our Exponential Equations video can be found here: kzfaq.info/get/bejne/j5OAlKmYq6qwip8.html

@aakashkarajgikar3935 2 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.

@msullivan6761 7 жыл бұрын

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

@FortBendTutoring 7 жыл бұрын

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

@odellbutler9721 7 ай бұрын

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

@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 7 ай бұрын

Thank you. Now I understand.

@allishangout2141 7 жыл бұрын

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

@FortBendTutoring 7 жыл бұрын

We have 3 videos on that topic. Here's one: kzfaq.info/get/bejne/erx8gtlzsce0nIU.html

@allishangout2141 7 жыл бұрын

Fort Bend Tutoring Ok thanks!

@143LEXI23 9 жыл бұрын

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

@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!

@stephenprice3357 8 жыл бұрын

Does slope intercept work also?

@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: kzfaq.info/get/bejne/ibWWo7edrrHSp2Q.html

@Rebeccaoseni89 6 жыл бұрын

why do you solve for x sometimes and y sometimes?

@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.

@sofia9127 6 жыл бұрын

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

@FortBendTutoring 6 жыл бұрын

I believe this has some: Nonlinear Systems Pt. 1 (feat. Texas Instruments Graphing Calculator TI-Nspire CX CAS) [fbt] kzfaq.info/get/bejne/nLVne9Gau9exfZ8.html I'll be sure to make some more in the future!

@sofia9127 6 жыл бұрын

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

@ericchhun8116 8 жыл бұрын

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

@FortBendTutoring 8 жыл бұрын

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

@Davidwolfblood 3 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 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 3 жыл бұрын

@@FortBendTutoring Ah! Understood!

@jareboo6685 7 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 7 жыл бұрын

+Jannelle Rebadavia This should help: kzfaq.info/get/bejne/Z5aEfcmA3pmsXas.html

@jareboo6685 7 жыл бұрын

Thank you very much

@MsDera81 8 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 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.