SOLUTION: If 3x-4=2(y-2), find x/y, where y is not equal to 0 THANK YOU

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Question 1061874: If 3x-4=2(y-2), find x/y, where y is not equal to 0
THANK YOU
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
3x-4=2%28y-2%29 is a linear equation,
and as a consequence, there is only one point where y=0 .
What point?
3x-4=2%280-2%29<-->3x-4=2%28-2%29<-->3x-4=-4<-->3x=0<-->x=0
So, y=0 only at point (0,0).

Solving for x, we could simply say
3x-4=2%28y-2%29-->3x=2%28y-2%29%2B4-->x=%282%28y-2%29%2B4%29%2F3 or x=2%28y-2%29%2F3%2B4%2F3 .
Not wrong, but that could be "simplified" further, and we may need to do that before dividing by y .

It may be better to get rid of those brackets from the start:
3x-4=2%28y-2%29-->3x-4=2y-4-->3x=2y-->x=2y%2F3<-->x=%282%2F3%29y .
Now,
x%2Fy=%282%2F3%29y%2Fy --> highlight%28x%2Fy=2%2F3%29 , for y%3C%3E0
(which in the case of 3x-4=2%28y-2%29 is equivalent to x%3C%3E0 ).