Question

What is the solution of the following system? -3x-2y=-12
9x+6y=-9

Answer 1

1.(2,1)
2.no solutions
3.(-2,-1)
4.infinitely many solutions

Answer 2

what do you want us to find?

Answer 3

ohhh, hold on...

Answer 4

I would say D, but check with @johnweldon1993 hes amazing;)

Answer 5

@reff23

Answer 6

I was thinking that too because they are parallel

Answer 7

-3x-2y=-12
9x+6y=-9

So we can make the top equation look like

-2y = 3x - 12
y = (-3/2)x + 6

and the second would be

6y = -9x - 9
y = (-3/2)x - 3/2

Now you were correct in saying these lines are parallel

However the solution to a system of equations is where the 2 lines intersect...

do parallel lines (providing they aren't the same line) ever intersect?

Answer 8

@reff23 hes trying to help you

Answer 9

No, I don't think they ever intersect.

Answer 10

^Correct, so the correct choice here will be B, there will be NO point where 2 parallel lines will intersect

Answer 11

Thank you.

Answer 12

For the case of choice D

that would be correct if the 2 equations you got are the same equation

for example

2x + 4y = 6
4x + 8y = 12

If you simplify those down, you get the same line... hence they would intersect at EVERY point, or in other words, have infinitely many solutions