Solve this equation by using the substitution method. Make sure you show ALL your work.

Question

−4x + 3y = −2
y = x−1

Answer 1

Substitute the second equation into the first equation for y:

-4x + 3(x-1) = -2

Distribute the 3:

-4x + 3x - 3 = -2

Combine like terms:

-x = 1

Divide both sides by -1:

x = -1

Now that we know x, we can substitute it back into the second equation to find y:

y = -1 - 1

y = -2

Therefore, the solution to the system of equations is (x,y) = (-1,-2).