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

First of all we can cross out C because the lines are not overlapping, and we can also cross out D because they are not parallel.
To chose between A and B simply plug in the values for x and attempt to solve.
(A) 4
3 * (4) + 2 * y = 8
=> 12 + 2 * y = 8
=> 2 * y = -4
=> y = -2
Then plug x and y into the second equation.
3 * (4) + 2 * (-2) = 8
=> 12 + (-4) = 8
=> 8 = 8
This means that the x value of 4 works for the system.
Final
(A) 4.
Hope I helped :)