Answered

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)

Verified Answer :

I hope this helps you

View image Anonymous

Answer:

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 .