Solve a System of Equations Using Elimination with Fractions

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be equal in all the equations that make up the system, in order to eliminate the variable using subtraction (or addition as the case may be). The coefficients can be made equal by multiplying the entire equation with a number which when multiplied to the coefficient of the variable to be eliminated gives the LCM of the coefficients of the variable to be eliminated in all the equations. Then we solve for the remaining variable(s).

After we have obtained the solution{s} for the remaining variable(s), we substitute the obtained solution into any of the original equations to obtain the solution of the eliminated variable.

Timestamps:
0:00 Intro
0:20 Start of Problem

Corrections:
2:33 Made a mistake. 4 times 12 is 48, not 36.

Organized Videos:
✅Solve a System of Equations Algebraically
✅Solve a System of Equations Using Substitution | Easy
✅Solve a System of Equations Using Substitution | Hard
✅Solve a System of Equations Using Substitution | Learn About
✅Solve a System of Equations Using Elimination | Learn About
✅Solve a System of Equations Using Elimination | Easy
✅Solve a System of Equations Using Elimination | Medium
✅Solve a System of Equations Using Elimination | Hard
✅Solve a System of Equations Word Problem
✅Solve a System of Equations With Three Variables

Connect with me:

#Systemofequations #Algebraically #brianmclogan

[AresKnyght]

4x12=48 not 36 but thank you this was helpful

[rangeshthakur]

I am a Indian Student, and I like your teaching style sir, your video is really helpful sir, I understand everything, thanks a lot sir

[truthtell]

X =5 and y = -2 if you want to ensure plug those into the equation and you will get back 7 and 12

[Bytme]

Good example, but you distributed 4 incorrectly to 12. Everything else was great.

[EMTBR]

Thanks for the teaching! It was helpful!

[bilalbhaiop]

thank you sir because of you i was able to pass my test with flying colours

[zakiibrahim]

It is helpful but you made a mistakes 12x 4

[omarf]

This was one of the most helpful videos. thank you!!!

[queenonika]

just what i was looking for thank you!

[advaitpathak]

1/2(2x+3y) +12/7(3x-2y) =1/2
7/2x+3y +4/3x-2y =2

[masterbuo]

It wasn't 36 but this tutorial makes me understand elimination than my instructor do

[DogeKid_Mxru]

I'm super saved for my test, but for my finals. . . . .

[courtneycrumel]

Me **watching this in college because I forgot everything I learned in middle school Pre-algebra**

[himalton]

I don't find it fare when students like us need help then teachers like him preach wrong things on YouTube. But thanks anyway I understand the concept and get where you where coming from

[shahrizodamirzayeva]

4 times 12 equals 48 not 36 so the answer was a bit cunfusing but this is very helpful video I have ever watched

[EJReilly]

What if its just one fraction? so; y= 3x - 7 over 2 and 5x + 2y= 17

[ben-norris]

x=5
because 4x12=48 plus 7 is 55 and then divided by eleven

[student]

2/3y - 1/x = 2 how to solve this step? Can tou explain??

[Kevin-tmxg]

What if there is only one fraction in the equation

[Calviinx]

YALL MY MATH TEST IS ON THURSDAY AND I HAVE TO SOLVE FOR CROSS METHOD, ELIMINATION METHOD, SUBSTITUSION METHOD AND WORD PROBLEMS HELP !!