Question

How do you solve `\frac { 97} { 4} = \frac { 89x } { 4}`?

Answer 1

See the entire solution process below:

Explanation:

Multiply each side of the equation by `color(red)(4)/color(blue)(89)` to solve for `x` while keeping the equation balanced:

`color(red)(4)/color(blue)(89) xx 97/4 = color(red)(4)/color(blue)(89) xx (89x)/4`

`cancel(color(red)(4))/color(blue)(89) xx 97/color(red)(cancel(color(black)(4))) = cancel(color(red)(4))/cancel(color(blue)(89)) xx (color(blue)(cancel(color(black)(89)))x)/color(red)(cancel(color(black)(4)))`

`97/89 = x`

`x = 97/89`

Answer 2

`x=97/89`

Explanation:

Since the fractions on both sides of the equation have a `color(blue)"common denominator"` of 4, then their numerators will be equal.

`rArr89x=97`

dividing both sides by 89 gives the solution for x

`(cancel(89) x)/cancel(89)=97/89`

`rArrx=97/89`