Question

Use substitution to solve each system.

-3y = -2x - 1
y = x - 1

Answer 1

-3y = -2x - 1

-3(x - 1) = -2x - 1

-3x + 3 = -2x - 1

-x + 3 = -1

-x = -4

x = 4

y = x - 1

y = (4) - 1

y = 3

(4,3) is your solution

Answer 2

-3y = -2x - 1
y = x - 1

Substitute the y in the first problem for it's equivalent (the second problem):
-3(x - 1) = -2x - 1
Distribute
-3x + 3 = -2x - 1
Add 2x to both sides
-1 x + 3 = -1
Subtract 3 from both sides
-1x = -4
x = 4

Now put that back into one of the original equations:
y = x - 1
y = 4 - 1
y = 3

So, x is 4 and y is 3.