Answer:
x=2, y=-7
Explanation:
Given the system of equations:
[tex]\begin{gathered} x+y=-5 \\ x-y=9 \end{gathered}[/tex]To solve the system by elimination, we add the two equations to eliminate y.
[tex]\begin{gathered} (x+x)+(y-y)=-5+9 \\ 2x=4 \\ x=\frac{4}{2} \\ x=2 \end{gathered}[/tex]Next, we substitute x=2 in any of the equations to solve for y.
[tex]\begin{gathered} x-y=9 \\ 2-y=9 \\ y=2-9 \\ y=-7 \end{gathered}[/tex]The solution to the system of equations is therefore: (2, -7).
