Question

X+y=-4 x-y=2 Use elimination with adding and subtraction

Answer 1

ANSWER

$x=-1,y=-3$


EXPLANATION

The given equations are:

$x + y = - 4...(1)$

and

$x - y = 2...(2)$


If we add equation (2) to equation (1) we get,


$x + x - y + y = 2 + - 4$


This implies that,.
$2x = - 2$


Divide both sides by 2 to get,

$x = - 1$


We put x=-1 into equation 1 to get,


$- 1 + y = - 4$

We solve for t to get,


$y = - 4 + 1$


This implies that,

$y = - 3$