Question

Use the linear combination method to solve the system of equations. Explain each step of your solution.

2x-3y=13
2x+4y=-8

Answer 1

Explanation:

Equation 1: 2x - 3y = 13

Equation 2: 2x + 4y = -8

Subtract Equation 1 from Equation 2:

2x + 4y = -8

- (2x - 3y = 13)

=> 7y = -21, y = -3.

Then 2x - 3(-3) = 13, 2x + 9 = 13, x = 2.

The solutions are x = 2 and y = -3.