Solve the following system of equations. 6x-2y=8 9x-3y=12

BolkowN

BolkowN

Answered question

2020-12-24

Solve the system of equations. 
6x-2y=8 
9x-3y=12

Answer & Explanation

Corben Pittman

Corben Pittman

Skilled2020-12-25Added 83 answers

Step 1 
We'll use elimination to resolve this. We'll work to get rid of y.
We multiply the first equation by 3 and the second equation by -2 
3(6x2y=8)18x6y=24 
2(9x3y=12)18x+6y=24 
Step 2 
The result of adding the two equations is
18x-6y=24 
-18x+6y=-24 
0=0 
That is always accurate.
So there are infinitely many solutions to the system of equations. 
We solve y for x 
6x-2y=8 
2y=6x-8 
y=6x82 
y=3x-4 
Answer: There are infinitely many solutions of the form y=3x-4, where x=any real number.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-08Added 2605 answers

Answer is given below (on video)

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