Question

How do you solve `\frac { x } { 3} = ( \frac { x } { 4} + 3)`?

Answer 1

`x = 36`

Explanation:

To find the variable `x`, we need to make it alone. The first thing we do is multiply both sides by `color(blue)3`:
`x/3 quadcolor(blue)(*quad3) = (x/4 + 3) quadcolor(blue)(*quad3)`

`x = (3x)/4 + 9`

Now multiply both sides by `color(blue)4` to get rid of the denominator:
`x quadcolor(blue)(*quad4) = ((3x)/4 + 9) quadcolor(blue)(*quad4)`

`4x = 3x + 36`

Now subtract `color(blue)(3x)` from both sides of the equation:
`4x quadcolor(blue)(-quad3x) = 3x + 36 quadcolor(blue)(-quad3x)`

Therefore,
`x = 36`

Hope this helps!