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 Equations - Fractions & Decimals:

One Solution, No Solution or Many Solutions?

Systems of Equations - Substitution Method:

Solving Systems of Equations By Graphing:

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Systems of Linear Equations - 3 Variables:

Systems of Equations - Word Problems:

Systems of Quadratic Equations:

Systems of Nonlinear Equations:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[OkieDoke]

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.

[benjaminsayoc]

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!

[davidbatori]

Bro made short maths explanation videos I actually understand (yes, I'm the dumbest one in class), instead of watching tiktok or YouTube shorts I started watching this guy's videos because it made me feel smart and now I basically caught up with all math I lost during the years due to poor explanation. Thank you sir, I mean it

[patrickmayer]

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

[Whoisdis]

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

[alyssahivey]

Do some word problems using 3 variables...

[georgesadler]

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

[DialecticalJuche]

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

[DanielLambs]

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

[bubbarachi]

Hopefully this video can help me with algebra 2 this year

[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.

[TIKTOK-bjzc]

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

[skywatcher]

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

[patricianyamekye]

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

[teenasayan]

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

[MatthewMartinez]

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.

[ericthomas]

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?

[leratofenyane]

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

[berkeleystudent]

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

[magnotic.a]

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