Algebra problem discrepancy

[speshulk926]

I helped my niece with an algebra problem and the teacher came up with a different answer than I did so I was wondering if someone could tell me if I did not do something correctly or how did the teacher come up with the answer.

the problem is y+2=⅔(x+4)

I came up with 2x-3y=-2
The teacher came up with x+3y=0

Any assistance you could provide would be most helpful.

Thanks!

Edit: My solution:

3(y+2)=3((2/3)(x+4))
3y+6=2(x+4)
3y+6=2x+8
-2x+3y+6=8
-2x+3y=2
2x-3y=-2

 

[speshulk926]

It is with utmost satisfaction that I report you are CORRECT
and that teacher should be FIRED

Of course, that assumes you're showing the correct initial equation.

OK, thank you very much!

 

[HallsofIvy]

Well, before firing the teacher, we might want to let him or her say what the problem really was or what the teacher really said.