How do you solve 7/y-7/3=1/4?

1 Answer
Mar 15, 2018

y=84/31

Explanation:

First we add the 7/3 to both sides giving us
7/"y"=1/"4"+7/"3"

1/"4" + 7/"3" = 31/12

You can this by finding common denominators, like so
"(3)1"/"(3)4" + "(4)7"/"(4)3"

Which gives us
3/12+28/12 = 31/12

So now that we have
7/y=31/12

We can cross multiply, which gives us
31y=7(12)

31y=84

Finally divide 31 on both sides, giving us
y=84/31