Question

What is the result of multiplying the first equation by −3
and adding to the second equation?

5x−2y=−2

3x+y=12

(1 point)
Responses

12x+7y=18
12 x plus 7 y equals 18

−12x+7y=18
negative 12 x plus 7 y equals 18

−10x+8y=15
negative 10 x plus 8 y equals 15

8x−y=10
8 x minus y equals 10

Answer 1

To get the result of multiplying the first equation by -3 and adding to the second equation, we can follow these steps:

1. Multiply the first equation by -3:
-3(5x - 2y) = -3(-2)
-15x + 6y = 6

2. Add the second equation:
-15x + 6y + (3x + y) = 6 + 12
-15x + 3x + 6y + y = 18
-12x + 7y = 18

Therefore, the result of multiplying the first equation by -3 and adding to the second equation is 12x + 7y = 18.