Solve this equation by using the substitution method. Make sure you show ALL your work.
−4x + 3y = −2
y = x−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).