Given,
The equations are
[tex]\begin{gathered} x+y=-10........(1) \\ 2x-y=-8.........(2) \end{gathered}[/tex]To find: Solve both equations.
Solution:
Add both equations (1) and (2)
[tex]\begin{gathered} (x+2x)+(y-y)=(-10-8) \\ 3x+0=-18 \\ 3x=-18 \\ x=-6 \end{gathered}[/tex]Substitute x = -6 in equation (1)
[tex]\begin{gathered} -6+y=-10 \\ y=-10+6 \\ y=-4 \end{gathered}[/tex]Hence, the value of x and y is -6 and -4.