We have the next system of equations
[tex]\begin{gathered} -5x-y=5 \\ -5x+y=5 \end{gathered}[/tex]
We can sum both equations we can eliminate one variable
[tex]\begin{gathered} -10x=10 \\ \end{gathered}[/tex]
then we isolate the x
[tex]x=\frac{10}{-10}=-1[/tex]
Therefore x=-1 then we substitute the value of x in order to find the value of y in the second equation
[tex]-5(-1)+y=5[/tex]
Then we simplify
[tex]5+y=5[/tex]
Then we isolate the y
[tex]y=5-5[/tex][tex]y=0[/tex]
ANSWER
x=-1
y=0
