Solve this equation by using the substitution method. Make sure you show ALL your work.
−4x + 3y = −2
y = x−1
Substitute y with x-1 in the first equation:
-4x + 3(x-1) = -2
Simplify and solve for x:
-4x + 3x - 3 = -2
-x = 1
x = -1
Now substitute the value of x into either equation to solve for y:
y = (-1) - 1
y = -2
The solution to the system of equations is (-1,-2).