Question

X + 3y=-12
5x – 3y=-6
How do you solve this situation by substitution

Answer 1

x + 3y = -12

x = -3y - 12

5(-3y - 12) - 3y = -6

-15y -60 - 3y = -6

-18y = 54

y = -3

x + 3(-3) = -12

x - 9 = -12

x = -3

Answer 2

To solve this by substitution, you can take one of the equations and get a variable alone on one side, so:

x + 3y = -12
x = -3y - 12

Next, you can plug -3y-12 in for the x values in the second equation to get:

5(-3y - 12) - 3y = -6
-15y -60 - 3y = -6
-18y = 54
y = -3

And with the y value found, you can plug it back into the first equation to find x.

x + 3(-3) = -12
x - 9 = -12
x = -3