Question

What is the solution to the system of equations?

y = –3x – 2

5x + 2y = 15

Answer 1

y = -3x - 2

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

2y = -5x +15
__________
2

y = -5/2 x + 15

y = -3x - 2

Answer 2

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

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).