Question

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

Answer 1

ANSWER


`x=-1,y=-3`


Step-by-step 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`