Question

How do you solve `12/x=3/4`?

Answer 1

See the entire solution process below:

Explanation:

First, multiply each side of the equation by `color(red)(4)color(blue)(x)` to eliminate the fractions while keeping the equation balanced:

`color(red)(4)color(blue)(x) xx 12/x = color(red)(4)color(blue)(x) xx 3/4`

`color(red)(4)cancel(color(blue)(x)) xx 12/color(blue)(cancel(color(black)(x))) = cancel(color(red)(4))color(blue)(x) xx 3/color(red)(cancel(color(black)(4)))`

`48 = 3x`

Now, divide each side of the equation by `color(red)(3)` to solve for `x` while keeping the equation balanced:

`48/color(red)(3) = (3x)/color(red)(3)`

`16 = (color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3))`

`16 = x`

`x = 16`