Question

{ x + y = -2
{ x - y = -8

Answer 1

The solution is (-5, 3).

Explanation:

If you have been told to solve this system of linear equations, start out by adding them together. The y terms then drop out, and we obtain:

2x = -10, implying that x = -5.

Selecting the first equation as our starting point in finding y:

-5 + y = -2.

We need to isolate y. To do this, add 5 to both sides:

y = -2 + 5, or y = 3.

Then the solution is (-5, 3).

Answer 2

(-5, 3)

Explanation:

Elimination seems like the best method to use here.

x+y=-2

x-y=-8

---------

2x=-10

Divide everything by two

x=-5

Now plug it back into one of the original equations,

-5+y=-2

Add 5 to everything

y=3