Question

Use the substitution method to solve the system of equations: 3x + 2y = 13 and y = x - 1?

Answer 1

x = 3

y = 2

Explanation:

3x + 2y = 13

y = x - 1

First, we substitute (x - 1) in for the y and solve for x.

3x + 2(x - 1) = 13

3x + 2x - 2 = 13

5x - 2 = 13

5x = 15

x = 3

Now we substitute 3 in for x and solve for y.

y = 3 - 1

y = 2