The solution for the system of equations 2x - 3y = -1 and y = x - 1 is:
x = 4, y = 3
The given system of equations is:
2x - 3y = -1.........(1)
y = x - 1.........(2)
Rearrange equation (2) to be in the same form as equation (1)
-x + y = -1.........(3)
Multiply equation (3) by 2
-2x + 2y = -2......(4)
Add equations (1) and (3)
-y = -3
Multiply both sides by -1
y = 3
Substitute y = 3 into equation (2)
y = x - 1
3 = x - 1
x = 3 + 1
x = 4
Therefore the solution for the system of equations 2x - 3y = -1 and y = x - 1 is:
x = 4, y = 3
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