What is the solution to the system of equations?

y=-3x - 2

5x + 2y = 15

(-40, 19)

(-19,55)

(19,-40)

(55, - 19)

( - 19, 55)

Step-by-step explanation:

Given the 2 equations

y = - 3x - 2 → (1)

5x + 2y = 15 → (2)

Substitute y = - 3x - 2 into (2)

5x + 2 ( - 3x - 2) = 15 ← distribute and simplify left side

5x - 6x - 4 = 15

- x - 4 = 15 (add 4 to both sides)

- x = 19 (multiply both sides by - 1)

x = - 19

Substitute x = - 19 into (1) for corresponding value of y

y = - 3 ( - 19) - 2 = 57 - 2 = 55

Solution is ( - 19, 55)

55,-19 because if y=55 and x=-19 then - 19 times 3 = 57. 57-2=55