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

Solution:

Given:

Equations are 

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

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

Here we are using substitution method to proceed with the given problem.

Substituting (1) in (2)

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

5x - 6x - 4 = 15

By further calculation

-x = 15 + 4

x = -19

Substituting x value in (1)

y = - 3(-19) - 2

By further calculation

y = 57 - 2

y = 55

Therefore, the solution is (-19, 55).

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

Summary:

The solution to the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55).