SOLUTION
We want to find which ordered pair is a solution to the linear equations
[tex]\begin{gathered} y=x \\ y=-x \end{gathered}[/tex]For the first equation we make x = 0 and find y
[tex]\begin{gathered} y=x \\ y=0 \\ putting\text{ y as 0} \\ 0=x \\ x=0 \end{gathered}[/tex]Do the same for the second equation, we have
[tex]\begin{gathered} y=-x \\ y=-0 \\ y=0 \\ putting\text{ y = 0} \\ 0=-x \\ x=0 \end{gathered}[/tex]Hence the answer is x = 0 and y = 0
Hence the answer is (0, 0)