Question

If 3x–4=2(y–2),find x/y, where y ≠0​

Answer 1

Answer:

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 ).