Slove the system of equations.

Question

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

A) (4, -3)
B) (3, 4)
C) (4,3)
D) (-4,-3)

Answer 1

First, substitute y = x - 1 into the first equation:

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

Now, substitute x = 4 into y = x - 1:

y = 4 - 1
y = 3

Therefore, the solution to the system of equations is (4, 3).

The correct answer is C) (4,3).