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

Mar 15, 2018

$y = \frac{84}{31}$

#### Explanation:

First we add the $\frac{7}{3}$ to both sides giving us
$\frac{7}{\text{y"=1/"4"+7/"3}}$

$\frac{1}{\text{4" + 7/"3}} = \frac{31}{12}$

You can this by finding common denominators, like so
$\text{(3)1"/"(3)4" + "(4)7"/"(4)3}$

Which gives us
$\frac{3}{12} + \frac{28}{12} = \frac{31}{12}$

So now that we have
$\frac{7}{y} = \frac{31}{12}$

We can cross multiply, which gives us
$31 y = 7 \left(12\right)$

$31 y = 84$

Finally divide $31$ on both sides, giving us
$y = \frac{84}{31}$