Question

How do you solve `\frac { 4} { x + 3} + \frac { 1} { x } = \frac { 5} { 4x }`?

Answer 1

Solution: `x=1/5`

Explanation:

`4/(x+3) + 1/x = 5/(4x)` multiplying by `4x(x+3)` on both sides, we

get , `(4xcancel((x+3))*4)/cancel((x+3)) + (4cancelx(x+3))/cancelx = (5*cancel((4x))(x+3))/cancel((4x))` or

`16x+4x+12 = 5x +15 or 16x+4x-5x = 15-12` or

`15x = 3 or x =1/5`

Solution: `x=1/5` [Ans]