Question

Which of the following equations have the same solution as the equation 3x+2y=-12 ? Check all that apply.

3x-2y=12

-3x-2y=12

15x+10y=-60

6x+2y=-12

6x+4y=-24

1.5x+y=-6

x+ 2/3y=-12

Answer 1

If one equation is the same, there is a multiply factor:

f*(3x+2y)=f*(-12)

You need to find the same factor for both members.

3x-2y=12. This is not the same.

-3x-2y=12. This is the same. The factor is (-1)

15x+10y=-60. This is the same. The factor is 5.

6x+2y=-12. This is not the same.

6x+4y=-24. This is not the same.

1.5x+y=-6. This is the same. The factor is 1/2.

x+ 2/3y=-12. This is not the same.

Good luck!
M.