Question

Please help its due today!!! Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x-3y=13

x+2y=-4

Answer 1

Explanation:

2x - 3y = 13 (1)

x + 2y = -4 (2)

Multiply (2) by 2:

2x + 4y = -8 (2')

now subtract (1):

-2x +3y = -13

7y = -21

y = -21/7 = -3

plug this result into (1) (or (2)) to get x: 2x - 3(-3) = 13

2x = 13-9

2x = 4

x = 2

Solution: x=2, y=-3

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Check:

(1) 2(2) - 3(-3) = 4 - (-9) = 4+9 = 13 (ok)

(2) 2 + 2(-3) = 2 - 6 = -4 (ok)