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

Verified Answer :

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 answer:
(A) 4.
Hope I helped :)