If 3x–4=2(y–2),find x/y, where y ≠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 ).

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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