Question

What is the value of the x variable in the solution to the following system of equations?

3x + 2y = 8
2x + 3y = 2

Answer 1

You can solve this system of equations by elimination. You will first want to eliminate the y's so you can solve for x. So, multiply the first equation by 3 and the second by 2 to get the y's equal to each other.
\[9x+6y=24\]
\[4x+6y=4\]

Answer 2

Subtract the second equation from the first. You will get..
\[5x=20\]

Answer 3

Now you can solve for x.