ANSWER
[tex]x=-1,y=-3[/tex]
EXPLANATION
The given equations are:
[tex]x + y = - 4...(1)[/tex]
and
[tex]x - y = 2...(2)[/tex]
If we add equation (2) to equation (1) we get,
[tex]x + x - y + y = 2 + - 4[/tex]
This implies that,.
[tex]2x = - 2[/tex]
Divide both sides by 2 to get,
[tex]x = - 1[/tex]
We put x=-1 into equation 1 to get,
[tex] - 1 + y = - 4[/tex]
We solve for t to get,
[tex]y = - 4 + 1[/tex]
This implies that,
[tex]y = - 3[/tex]
