Answer:
(-2,-4)
Step-by-step explanation:
The given system is
[tex]x+y=-6\\x-y=2[/tex]
Add both equations to eliminate y
[tex]x+x=-6+2[/tex]
Simplify both sides to get:
[tex]2x=-4[/tex]
Divide both sides by 2
[tex]x=\frac{-4}{2}\\ x=-2[/tex]
Put x=-2 into one of the equations say, x+y=-6 and solve for y
[tex]y+-2=-6\\y=-6+2\\y=-4[/tex]
The solution is (-2,-4)
