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Verified Answer :

y = -3x - 2

5x + 2y = 15
-5x          -5x

2y = -5x +15
__________
     2

y = -5/2 x + 15

y = -3x - 2 

Answer:

Solution of the system of the equations is (-19, -59)

Step-by-step explanation:

The system of the equations is given as

y = -3x - 2 -----(1)

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

Now we plug in the value of y from equation (1) to equation (2)

5x + 2(-3x - 2) = 15

5x - 6x - 4 = 15

-x - 4 = 15

-x = 15 + 4

x = -19

Now we plug in the value of x in the equation (1)

y = 3(-19) - 2

  = -57 - 2

y = -59

Therefore, solution of the system of the equations is (-19, -59).

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