Question

Rearrange the formula S = a (a - r) forr. A) r = a(S - 1) B) r = (S - 1) a C) r = a(S - 1) S D) r = a(S + 1) S

Answer 1

Answer: C) r = a(S - 1) /S

Explanation:

Answer 2

Answer: C)
`r=a((S-1)/(S))`

Explanation:

The given formula :
`S=(a)/((a-r))`

To rearrange the formula to find the formula for r , first we multiply both sides with (a-r), we get

`(a-r)S=a`

Divide both sides by S , we get

`a-r=(a)/(S)`

Subtract a on both sides , we get

`-r=(a)/(S)-a\\\\ -r=a((1)/(S)-1)`

Multiplying (-1) on both sides , we get

`r=-a((1)/(S)-1)\\\\ r=a(1-(1)/(S))\\\\ r=a((S-1)/(S))`

Hence, the correct answer is : C)
`r=a((S-1)/(S))`