Question

What is the value of the x variable in the solution to the following system of equations?
3x + 2y = 6
2x + 3y = -1
Answer
-3
4
-4
3

Answer 1

I am going to solve by substitution but elimination will work too

3x + 2y = 6 (1)
2y=6-3x
y=3-(3/2)x

2x + 3y = -1 (2)

Sub y from (1) into (2)

2x+3(3-(3/2)x)=-1
2x+9-(9/2)x=-1
(-5/2)x=-10
-5x=-20
x=4