Question

What is the solution to
-x+3y=2
X+y=-2

Answer 1

(-2, 0)

Explanation:

Use elimination: add the two systems. Because the left is equal to right, you are adding the same thing and it's legal.

-x+3y=2

+ (x+y=-2)

Add each term

-x+x + 3y+y = 2+ -2

4y=0

y=0

x+y=-2

x+0=-2

x=-2

Answer 2

x=-2, y=0

Explanation:

-x+3y=2

X+y=-2

We can add these two equations together to eliminate x

-x+3y=2

x+y=-2

--------------

4y = 0

Divide each side by 4

4y/4 = 0/4

y=0

Now we still need to find x

x+y = -2

Substitute x=0

0+y = -2

y= -2