Question

How do you solve `24=r/4`?

Answer 1

`r = 96`

Explanation:

In order to solve for a variable we need to isolate it - that means to get it entirely on its own on one side of the equation.

In this case 4 is the only number which is preventing r from being alone. r is being DIVIDED by 4. To get rid of the 4, MULTIPLY both sides by 4....

`4xx 24 = r/cancel4 xxcancel4" "larr` the 4's cancel

`96 = r`

Answer 2

`r=96`

Explanation:

`color(blue)("Objective")`

Get `r` on its own on one side of = and everything else on the other side.

;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Method")`

Change the 4 in `r/4` such that we have `rxx1 -> r`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(blue)("Determine the value of "r)`

Given:`" "24=r/4`

Write as `24=rxx1/4`

`color(magenta)("Multiply both sides by "color(blue)( 4)`

`color(brown)(24color(blue)(xx4)" "=" "rxx1/4color(blue)(xx4))`

`96 = rxx4/4`

But `4/4=1`

`96=rxx1" "->" "96=r`