What is the solution to the system of equations? y = –3x – 2 5x + 2y = 15 (–40, 19) (–19, 55) (19, –40) (55, –19)

The solution of system of equations are  (-19, 55)

The given system of equations are,

Substituting the value of y from equation 1 into equation 2.

Substituting the value of x in equation 1

Thus, the solution of system of equations are  (-19, 55)

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Step-by-step

What is the solution to the system of equations?

y = –3x – 2 (1)

5x + 2y = 15(2)

Substitute (1) in (2) to give

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

5x-6x-4 = 15

-x-4=15

solve for x:

-4-15 = x

x=-19

Now substitute x=-19 into equation (1)

y = -3x-2 = 57-2 = 55

Therefore the solution is (-19, 55)

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step-by-step explanation: