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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

Respuesta :

Answer:


Step-by-step 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)

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