Question

Which ordered pair is the solution to the system of equations?

{2x+y=−8
{x−y=−4

(1, 5)
(−3, −2)
(−4, 0)
(−1, 3)

Answer 1

Lets solve this with elimination.
Add both equations together, you will notice the y terms cancel each other out because "y-y = 0". This is what we want.

The result is:
$3x = -12$
Divide both sides by 3
$x = -4$

To find y-value, plug in x=-4 into 1st equation:
$2(-4) +y = -8$
-8 +y = -8
y = 0

Solution is  (-4,0)