What is the solution to the system of equations?
y = –3x – 2
5x + 2y = 15

x = -19

y = 55

Step-by-step explanation:

Given:

y = –3x – 2 (rearrange)

3x + y = -2 > eq1

5x + 2y = 15 > eq2

multiply eq1 by 2:

6x + 2y = -4 > eq 3

By elimination: subtract eq2 from eq 3

( 6x + 2y) - (5x+2y) = -4 - 15

x = -19  (Answer)

substitute x = -19 into eq1

3(-19) + y = -2

-57 + y = -2

y = -2 + 57 = 55 (Answer)

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step-by-step explanation: ; )

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