Answer:
x = -2 , y = -3
Explanation:
Let's rearrange the second equation to make x and y on the same side :
y = 1/2x - 2
1/2x - y = 2
Now let's compare the 2 equations :
x + 2y = -8
1/2x - y = 2
Now we multiply the second equation by 2 to make the co-efficient of y the same :
x + 2y = -8
x -2y = 4
Since the signs are different we add the 2 equations :
2x = -4
Divide both sides by 2 to solve for x :
x = -2
Substitute x value into equation 2 to solve for y :
y = 1/2(-2) - 2
y = -1 - 2
y = -3
Our answer is x = -2 , y = -3
Hope this helped and have a good day