Question

How do you solve `\frac { 15} { x } - 4= \frac { 6} { x } + 3`?

Answer 1

`color(green)(x=1 2/7)`

Explanation:

Given
`color(white)("XXX")15/x-4=6/x+3`

Multiply everything on both sides by `x`
`color(white)("XXX")15-4x=6+3x`

Add `4x` to both sides
`color(white)("XXX")15=6+7x`

Subtract `6` from both sides
`color(white)("XXX")9=7x`

Divide both sides by `7`
`color(white)("XXX")9/7=x rarr r=9/1=1 2/7`