Solving Systems of Equations With 3 Variables & Word Problems

This algebra video tutorial explains how to solve system of equations with 3 variables and with word problems. It contains two example word problems on investment and on total value.
Systems of Linear Equations - 2 Variables: • Solving Systems of Equ...
Systems of Equations - Fractions & Decimals:
• Solving Systems of Equ...
One Solution, No Solution or Many Solutions?
• One Solution, No Solut...
Systems of Equations - Substitution Method:
• How To Solve Linear Sy...
Solving Systems of Equations By Graphing:
• Solving Systems of Equ...
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Systems of Linear Equations - 3 Variables:
• Solving Systems of Equ...
Systems of Equations - Word Problems:
• Algebra 2 Math Problem
Systems of Quadratic Equations:
• Systems of Quadratic E...
Systems of Nonlinear Equations:
• How To Solve Systems o...
________________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/h2KvaZWLedutjtk Final Exams and Video Playlists: www.video-tutor.net/

[@damiamarissa4370]

Online class? ❌ KZbin class ✔️

[@fabianousim6716]

hell yeah

[@damiamarissa4370]

@@fabianousim6716 yeah bro this dude is insane

[@afifmasian7685]

exactly👍

[@damiamarissa4370]

@@afifmasian7685 sometimes we need a best tcer to teach maths

[@Deadshot647-g6r]

Factual

[@DialecticalJuche]

this guy does a better explanation than my uni lin alg textbook ever did

[@selinawang5531]

Super simple, easy to understand

[@AnnabelleBerger]

my math teacher doesnt teach us and this helped me tremendously on a quiz that we had. Amazing!!!!!!!!!!!!!

[@successthruknowledge]

I was referred here by your electronics playlist. A really great explanation!

[@berkeleystudent23]

Learning linear algebra, forgot about systems of equation so this helps!

[@Illuminous_]

1 - Spend one second looking at the exercise. 2 - write it wrong. 3 - spent houres trying different increasingly complex methods to solve an impossible equation.

[@MahonriJexOliva]

Bro this guy teaches me more than my teacher and helps me more than my parents

[@ryanchiang9587]

common the coefficients in order to compare and calculate

[@adrisoa]

As always, thank u!

[@Zenroy]

Thank you so much!

[@ParthPratham-rg6vv]

nice explanation keep it up bro

[@dhruvayerabati6046]

you are amazing bro keep up the amazing work

[@Selenaa-k1i]

Thanks for this video it helped sooo much

[@salataYT]

your calculator sounds great😋😋😋😋

[@crazytim0565]

Best math guy

[@marcguarch7972]

you're awesome!

[@morrow4884]

youre always the man

[@shekhlalo4900]

Thank you sir, you really saved me😂

[@mdez8645]

Y can't teacher's explain better lmao

[@only1den]

Where did you get -1 from ?

[@ak09168]

to cancel out 3z

[@lianatiamzon9943]

#lifesaver

[@yocool7083]

Ahh i love u

[@jundiarafi6851]

400th like

[@user-jt5cv5hg3n]

2x+3y=5p and y=2x+p HELP FAST PLS

[@hadeelshorts19]

You should take 5p into the equation 2x+3y-5y=0

[@spamtunapie6960]

are you still accepting for answers?

[@user-jt5cv5hg3n]

@@spamtunapie6960 yes pls

[@ragerory838]

did you solve the question till now

[@user-jt5cv5hg3n]

@@ragerory838 I think so yeah

[@bridget3289]

I’ve tried this a gazillion times and I haven’t gotten it but somehow u explaining it made me get it the first time. 🥹

[@Norin936]

Wish me luck for my final exam❤

[@OkieDoke164]

Recently went back to university for a new degree. First time I've been in classes in about ten years. Algebra and trig are absolutely killing me as I'm realising how utterly weak my foundations are in most maths at the moment. Your channel has been amazing to help me relearn and catch up on things. I'm still far behind, but you definitely help relax some of that stress. I will always smash that like button.

[@gái黃]

Hope you’re doing well because I’m taking AP Calculus BC. Ext year as a sophomore

[@edwinlee2343]

I was in the same boat. 12 years since I had taken a math class and jumped into pre calculus algebra. Just keep trying and don't give up. If you fail a class take it again and consider it a learning experience. In a year you will be amazed how much you have learned and what you can do.

[@iannalemme]

I am in the same boat lol, these videos are bangers.

[@benjaminsayoc5912]

Honestly, I have never seen equation systems solved in this way. At my school we always isolate the first variable, so it can be but into the next equation, to solve the next variable so it can be put into the last: so you'll end up with an equation with only 1 variable. Therefore this is mindblowing to me. Thank you!

[@baldyolk]

this ia elimination method suitable for some equations...

[@kevinduran7657]

I DONT UNDERSTAND, HOW ARE THE TWO NEW EQUATIONS GOING TO MAGICALLY CANCEL EACHOTHER OUT

[@ak09168]

you multiply one equation by a certain number to make a specific variable cancel out, like if one equation was : 2x+3y+2z = 25 : and the second equation was : 5x+7y-z = 25 : and you wanted z to cancel out, you multiply the entire second equation by 2 so -z could turn into -2z which cancels out the first equation's z which is positive 2z

[@kevinduran7657]

@@ak09168 THANK YOU 🙏🏽

[@patrickmayer9218]

I learned this originally for Algebra 2 but now 4 years later I need it for linear algebra. Thanks for the video!

[@alyssahivey5959]

Do some word problems using 3 variables...

[@andreclay9324]

I guess I am kind of off topic but does anybody know of a good site to watch new movies online ?

[@user-uq6xb9ye8e]

@@andreclay9324 myflixer

[@dakindrewitz]

@@andreclay9324 very off topic

[@pepper5117]

@@andreclay9324 lol what

[@zirus8240]

@@andreclay9324 egybest

[@Whoisdis319]

Thank you so much. I've been struggling for 5 days LITERALLY. your video made me a pro with this ☺️

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another great video/lecture on Solving Systems of Equations.

[@LarryPale]

Whenever you hear this voice, just know that you are in the right place 🍻

[@IceyDivine]

I love you lol

[@evan.5967]

_Luminaire_ Gayyyyyyyyyyyyyyyyyy Jkjkjkjkjkjkjkjkjkjkjk chilllllllll bruh

[@kkumasc]

how about this problem: (pls help me out) There are three types of vehicles, one is the motorcycle, tricycle, and van. the next day, there are 36 vehicles made a trip, but were not able to count the number of each vehicle. If you saw 102 wheels, how many motorcycle, tricycle, and van made a trip? Considering that motorcycle has 2 wheels, tricycle has 3, and van has 4 wheels.

[@DanielLambs]

Thanks! This video really helped me with a question on my math final!

[@charliedunaway9746]

same

[@mogoboyajonas57]

Thanks ❤❤

[@bubbarachi9122]

Hopefully this video can help me with algebra 2 this year

[@TIKTOK-bj1zc]

Honestly, you've helped me a lot, thank you tutor

[@daceydunks]

2:39 why did u multiply by -1

[@UNITED_STATES_OF_AMERICA5]

So he multiplied by -1 because he want to do it more simpler so he can do it and also because subtracting is kind of confusing when you have a negative stacked on top of each other you can accidentally miss the sign and that will ruin the whole thing. Example: 2x+y=7 11x+2y=20 ------ 2x+y=7(2) 11x+2y=20 - ------ 4x+2y=14 11x+2y=20 - -------- 7x=7 x=1 ( I know this is wrong because the x is supposed to be negative because 4-11=-7) So we sub the x=1 into prob 1 2+y=7 ---- y=7-2 ---- y=5 BUT if we do it the right way where x is equal to -1 2x+y=7 ---- -2+y=7 ---- y=7+2 ---- Y=9 As you can see if we get the signs wrong on the first one that you solve it will become wrong for the entire thing

[@UNITED_STATES_OF_AMERICA5]

This took like 20 minutes

[@ericthomas5963]

But why do you need to get rid of the y and why do you need to multiply one of the resulting equations by -1?

[@Mlmylji]

You have to get rid of one variable, in this case Y was just easier And he multiplied following equations by -1 so they could subtract eachother rather than just add Hope this helped

[@footballomega]

@@Mlmylji but why not -2 or -3

[@UNITED_STATES_OF_AMERICA5]

@@footballomegabecause it would not compute together I think( I am just a kid 😅)

[@UNITED_STATES_OF_AMERICA5]

Like if u did this (4x+3z=13)-2 (5x+3z=14) It would come out like this -8x-6z=-26 + 5x +3z=14 -------- -3x-6z=-12 And so it would not have been able to subtract anything or delete any variable@footballomega

[@haroonsherani5459]

I love this guy, always helps

[@missasyan]

“A, B, and C have 2150 yen collectively. A has 120 yen more than B does. After C gives B 2/5ths of his money, B now has 220 yen more than A. How much money did A originally have?” They say it's a problem that even middle schoolers can solve, but wow. Maybe I'm just dumb. I can't figure anything out. (B+120) + B + C = 2150 An + (B+2/5C) + 3/5C = 2150 ?

[@ifmondayhadaface9490]

A = 710 B = 590 C = 850 A originally had 710 yen. The A, B, and C values are all BEFORE they gave money to each other. I was able to gather the following equations from this problem. A + B + C = 2150 A = B + 120 (2/5) C + B = A + 220 Now I will replace "A" with "B + 120". (B + 120) + B + C = 2150 (2/5)C + B = B + 120 + 220 In the second equation, it looks like I can solve C since the B's cancel each other out. (2/5)C + B = B + 120 + 220 (2/5)C = 340 C = 850 Using C, I can solve for B in the first equation. (B + 120) + B + 850 = 2150 2B = 1180 B = 590 Now, I can use the very first equation I wrote and solve for A. A + 850 + 590 = 2150 A = 710 I can now use the three original equations and check my work. 710 + 590 + 850 = 2150 710 = 590 + 120 (2/5)850 + 590 = 710 + 220 The above statements are true. Unless you find that my original equations are incorrect, this is one way to solve.

[@soupy5890]

To be fair in canada we don't do any of this till 9th or 10th but I just like being ahead

[@magnotic.a3378]

Why do you have to multiply the first equation by two and the one next to it by -1?

[@baldyolk]

its still works if you didnt multiply em

[@RomanNicolich]

The reason you have to multiply the first equation by 2 is so the Y’s cancel out. At first you’ll see that the first equation has y and the 3rd has -2y. Since we’re trying to cancel them out they have to have the same value with opposite signs, which would be 2y and -2y. After you multiply the 1st equation by two now the 1st equation has 2y, the 2nd equation still has -2y so they cancel out when you add. You would pretty much follow the same logic for the one that gets multiplied by -1, it’s to make it so one of the variables gets canceled out. Also, incase you were confused on this multiplying the whole thing doesn’t matter because it can still be divided by that same value to get the original equation. I hope this helped! :)

[@onemanuele.nicolas3730]

so you can just add the equations instead of subtracting them because subtracting isn't always accurate

[@DLoG2c]

Why do you multiply by -1 and 2?

[@bobbyvonbob7973]

US education system never heard of Gauss? Just do the Gauß-Jordan algorithm, way easier and way way faster than this technique.

[@deltavoided7815]

literally

[@deejayaech4519]

Or heck just go with 1/|a|*adj(a) for a amtrix.

[@ioveyou8987]

be honest we’re all sophomores here struggling with algebra 2

[@grenben23]

My ONLY problem with this video is how he solved the first equation. I have on my paper a problem that can’t be solved with that second equation multiplication, so I need to have a different set of steps to complete it. This video only does something you can do in a specific group of situations, and doesn’t help when the 3 variable system of equations isn’t able to do that last elimination that you did. It would help many people to see how else you can solve a system without that last shortcut.

[@iesroo]

For the first one, I would assume that x=1, y=2, and z=3!?

[@Cousin_joe1507]

I should not have taken college algebra before learning this stuff why didn’t anyone warn me i was told it was easier than algebra 1😭😭😭

[@patricianyamekye3935]

This video just saved my hope for better grades. Keep it up

[@jjfourie9289]

How do ypu do it if there is only 2 equations?

[@teenasayan1849]

I'm in 3rd and going to kumon and I LOVE your videos, you helped me with level G.

[@siyasangamajeke8332]

Please help me sir a+b-c=-1...(1) 2a-2b+3c=8..... (2) 2a-b+2c=9..... (3)

[@shanegilliam4896]

Did you ever find the answers though

[@endgameisbad2733]

@@shanegilliam4896 I see someone else has a bad teacher this year

[@shanegilliam4896]

@@endgameisbad2733 lmao yup

[@spamtunapie6960]

@@shanegilliam4896 it do be like that sometimes

[@jaerisuh]

a=2, b=-1, c =2

[@TheLonzzJR]

I got a math test in one hour, at 3:30 why do I multiply 5 by one?

[@MatthewMartinez06]

I was watching a video, made by my school, which explained this topic... it was not helpful. After a bit of searching, I found this video and now I understand how to solve a system of equations with 3 variables in it. Thank you.

[@zatenamora]

Doing this in ninth grade is a movie

[@HSDarke]

???? huh?

[@iesroo]

What do you mean by movie? Nate??

[@CameronZimmermann]

i would rather do advanced calculus instead of this bs

[@kylelabelle9307]

My problem is I don’t understand how your getting negative numbers to divide the equations by (5A+8b=6.55)(-7) 9a+7b=9.20 where does the -7 come from does it come from reversing the 7b?

[@reefusine]

Always really helpful when I forgot or when I just learned a formula, thank you kind sir

[@5bitcube]

What if they don't cancel out lmao

[@sheila5018]

you’re literally the best

[@AlexaViaVlog]

I love U

[@Universal_Craftsman]

But what can you do if the factors of the variables aren't constants so you can't cancel. For example: x*sin a + y *sin b + z*sin c = 0 x*cos a + y*cos b + z*cos c =0 x*sin a * 2l + y*cos b * 3l + z* sin c * 4l = 0

[@skywatcher8893]

Thank you for this! My teacher speaks and works really fast and it’s hard to catch it all, so I really needed this :)

[@annak872]

Wow please slow it down!!!!!!! Blew my mind

[@sambahwokies]

hi just need to know where the -1 came from

[@UNITED_STATES_OF_AMERICA5]

U need to add when u sub it is not so easy

[@Anonymous-ly6yh]

Hello and welcome to whoever is taking electrical circuits and saying “I should’ve actually studied this well in high school” 💀

[@Kudzu1363]

What if the my 3rd equation is 0y I can’t cancel it out bc it’s 2y and 0y 😅 stressing out

[@jamesking2325]

This does not work with equations ending with the same value

[@xcepsongaming9808]

use Cramer's Rule!

[@gansitopower7627]

love you

[@ForruptedHrek]

1.5x speed

[@leratofenyane7442]

You are the best teacher I've ever seen even my lectures don't explain like you..... we appreciate your assistance, may God bless you with more wisdom and knowledge.......❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[@D1sloyaI]

scam btw

[@mememe2373]

thanks dude, you just saved my grade and I even speak diff language

[@KosarachiEsther-og8mp]

As simple and understanding as always, thank you very much.

[@paradis.diaz2004]

I'm doing this online bc my fucking teacher decided not to finish her lesson on time and now I'm doing this

[@OlafBison]

Oh

[@Lee-iThink]

dude always helps me out but his voice is so soothing holy shit

[@gigi7673]

But why multiplied by two? Is there a reason

[@danielteyehuago1633]

I'm here again. Thanks for sharing it with us

[@melskauta3304]

You the best 👍

[@hayleehishere8871]

Please label your equations next time, it’s confusing when you dont

[@realmadridfan2809]

just rewind it that simple

[@lesterlim4505]

@@realmadridfan2809 no its not "that simple" if you're smart then good for you

[@ianowens1905]

When your teacher can’t teach so you watch this

[@aseretienne7125]

you are good bro

[@kyormrod7613]

At 1:45, why did you choose 2? It wasn't explained.

[@UNITED_STATES_OF_AMERICA5]

He used the third equation and he had to multiply by to so he could cancel z out

[@dette5625]

How to know u need to + or - during counting??

[@anvithuligere7324]

x + y + z = 6 x + -2y + 3z = 1 x + 3y + -z = 8 ANS: X,Y,Z (1,3,2) Is my answer correct?

[@UNITED_STATES_OF_AMERICA5]

Yes u are correct

[@UNITED_STATES_OF_AMERICA5]

Probs from kumon math area

[@sanopann1896]

teacher i want more of these

[@yocp23]

Thanks It helped me a lot

[@drramahi2]

Is this substitution or elimination?

[@xavierincepierre7773]

holy fuck why does this have to be so long ......

[@homaphobia]

I LOVE YOU THANK YOU 🙏🙏🙏🙏

[@abhitojsingh1888]

Thanks m8

[@joanadesousa9745]

Thank you so much for your help!

[@quimberlylumosad425]

fuvk this i give up.

[@silentone4542]

Is this elimination by substitution?