The system of equations is given to be:
[tex]\begin{gathered} x-y=0 \\ x+y=-4 \end{gathered}[/tex]
From the first equation, we have that:
[tex]x=y[/tex]
Therefore, we can have ordered pairs to be plotted to be:
[tex](-4,-4),(-2,-2),(0,0),(2,2),(4,4)[/tex]
From the second equation, we have:
[tex]\begin{gathered} When\text{ }x=0 \\ y=-4 \\ When\text{ y}=0 \\ x=-4 \end{gathered}[/tex]
Therefore, we have the ordered pairs to be:
[tex](0,-4),(-4,0)[/tex]
We can plot the graph as shown below:
The solution to the system is the point where the two graphs intersect.
Therefore, the solution to the equation is given to be:
[tex](x,y)=(-2,-2)[/tex]
