Question

Question #95d43

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(5)` to solve for `x` while keeping the equation balanced:

`color(red)(5) xx x/5 = color(red)(5) xx 8/9`

`cancel(color(red)(5)) xx x/color(red)(cancel(color(black)(5))) = 40/9`

`x = 40/9`

Or, if your answer requires a mixed number:

`x = (36 + 4)/9 = 36/9 + 4/9 = 4 + 4/9`

`x = 4 4/9`

Answer 2

`x=40/9~=4.44`

Explanation:

We multiply in both sides by `5`:
`x/5*5=8/9*5`

`x=40/9~=4.44`

Answer 3

`x = 40/9 = 4 4/9`

Explanation:

Solving for x by multiplying both sides by 5 provides a quick answer

`5 xx x/5 = 5 xx 8/9` The five divides out leaving

`x = 40/9`

`40/9` is an improper fraction that can be changed to a mixed number by dividing 40 by 9 and taking the remainder as the numerator of the remaining fraction.

`40/9 = 4 4/9`

Answer 4

`x/5=8/9`

This is a proportion and to solve proportions, you cross multiply

`color(red)x/color(blue)5=color(blue)8/color(red)9`

`color(red)( 9 xx x)=9x`

`color(blue)(8 xx 5)=40`

`color(red)(9x)=color(blue)40`

You are trying to find the value of `x` so you need `x` by itself

Solve for `x` by performing the opposite operation

`9` and `x` are being multiplied, so the opposite operation is division

`(9x)/9=40/9`

`x=4.44`