Answer: C) (12, -14)
Step-by-step explanation:
I am going to solve by elimination.
Start by subtracting one equation from the other
[tex]y=-x-2\\-(y=-\frac{1}{2} x-8)\\0=-\frac{1}{2} x+6[/tex]
Now solve for x
[tex]0=-\frac{1}{2} x+6\\0-6=-\frac{1}{2} x+6-6\\-6=-\frac{1}{2} x\\(-6)(-2)=(-2)(-\frac{1}{2} x)\\12=x[/tex]
Now sub in x into one of the equations to find the value of y
[tex]y=-(12)-2\\y=-14[/tex]
