# 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)

2 answers

###### Question:

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)

y = –3x – 2

5x + 2y = 15

a

(19, –40)

b

(–40, 19)

c

(55, –19)

d

(–19, 55)

## Answers

I hope this helps you

Answer: The solution for system of equation is (-19,55) .Option (d) is correct .Step-by-step explanation:As given the equations in the questiony = –3x – 2Simplify the abovey + 3x = -25x + 2y = 15Multiply 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 .

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