Question

Solve by substitution
y=x-1
2x-3y=-1

Answer 1

(x, y) = (4, 3)

Explanation:

y = x - 1 (Equation 1)

2x - 3y = -1 (Equation 2)

We can use substitution method:

Substitute the expression for y from Equation 1 into Equation 2 and solve for x:

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

2x - 3x + 3 = -1

-x = -4

x = 4

Now that we have found the value of x, we can substitute it back into Equation 1 to find y:

y = x - 1

y = 4 - 1

y = 3

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