ANSWER:
x = 4 and y = -2
STEP-BY-STEP EXPLANATION:
We have the following system of equations:
[tex]\begin{gathered} x+y=2 \\ x-y=6 \end{gathered}[/tex]To use the elimination system, we only have to add both equations, like this:
[tex]\begin{gathered} x+y+x-y=2+6 \\ 2x=8 \\ x=\frac{8}{2} \\ x=4 \\ \\ \text{ now, for y:} \\ x+y=2 \\ 4+y=2 \\ y=2-4 \\ y=-2 \end{gathered}[/tex]The value of x is 4 and the value of y is -2
