# a+3/(4b)=2 and b+3/(4a)=6. How do you find b/a?

Mar 10, 2016

$\frac{b}{a} = 3$

#### Explanation:

If we just examine the first equation:

$\frac{4 a b}{4 b} + \frac{3}{4 b} = 2$

$\frac{4 a b + 3}{4 b} = 2$

The second equation, modified similarly, yields:

$\frac{4 a b + 3}{4 a} = 6$

If we take the second equation divided by the first equation, we see that

$\frac{\frac{4 a b + 3}{4 a}}{\frac{4 a b + 3}{4 b}} = \frac{6}{2}$

$\frac{4 b}{4 a} = 3$

$\frac{b}{a} = 3$