What is the solution to the system of equations?

y = –3x – 2

5x + 2y = 15

a
(19, –40)

b
(–40, 19)

c
(55, –19)

d
(–19, 55)

The solution for system of equation is (-19,55) .

Option (d) is correct .

Step-by-step explanation:

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply  y + 3x = -2 by 2 and subtracted from 5x + 2y = 15 .

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

-x = 19

x = -19

Putting the value of x in the equation  y + 3x = -2 .

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for system of equation is (-19,55) .

Option (d) is correct .

1

step-by-step explanation:

it's the only multiple of both and the least

i would need to see the dot plot : )