So first you change the two equations into:
y = -18 - 10x and
-5x - 3y = 4
Then substitute y = -18 - 10x into the second equation for the y part
-5x - 3(-18 - 10x) = 4
Then simplify:
-5x + 54 + 30x = 4
Then put all the variables on one side while all the single numbers on the other:
-5x + 30x = 4 - 54
Then simplify:
25x = -50
Then divide 25 by both sides making it:
25x/25 = -50/25
Cancel out the 25’s on the left side… then your left with:
x = -50/25
so x = -2
And when you substitute x for -2 in either equation’s you get y as:
Work:
-5x - 3y = 4
-5(-2) -3y = 4
10 - 3y = 4
-10 -10
Cancel out the 10 on the left side
(since 10 -10 = 0)
Then your left with:
-3y = -6
Then divide -3 from both sides:
-3y/3 = -6/-3
The -3’s from the left side cancel out
So then y = 2 (since -6/-3 = 2)
THE ANSWER IS:
x = -2
y = 2