Answer:
y = -4
x = 3
Step-by-step explanation:
I will be using the elimination method to solve this:
Begin by times -1 to the bottom equation.
[tex]2x-3y=18[/tex]
[tex]-2x-y=-2[/tex]
Add them together
[tex]0x-4y=16[/tex]
ignore the 0x and divide -4 to both sides
[tex]\frac{-4y}{-4} =\frac{16}{-4}[/tex]
y = -4
Plug y back into one of the two original equations
[tex]2x-3(-4)=18[/tex]
multiply -3 and -4 to get +12
[tex]2x+12=18[/tex]
subtract 12 to both sides
[tex]2x=6[/tex]
divide by 2 to both sides
x = 3
