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

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

A.)4

B.)−2

C.)x can be any number as there are infinitely many solutions to this system

D.)There is no x value as there is no solution to this system

Question

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

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

A.)4

B.)−2

C.)x can be any number as there are infinitely many solutions to this system

D.)There is no x value as there is no solution to this system

anonymous · Answer

..?

anonymous · Answer

3x + 2y = 8 -----(1)
2x + 3y = 2 -----(2)

Multiply equation (1) by 2 and equation (2) by 3
6x+4y=16
6x+9y=6
subtract
-5y = 10
y=-2

plug this y into equation (1)
3x+2(-2) = 8
3x-4=8
3x=12
x=4

Im not sure if this is right, but thats my answer..

shane_b · Answer

You should end up with x=4 and y = -2

anonymous · Answer

Thank You! :)