Question

Could somebody please explain how this is the correct answer please​

Answer 1

C

Explanation:

Given

S =
`(C-(1)/(4)I )/(C+I)` ( multiply both sides by C + I )

S(C + I) = C -
`(1)/(4)` I ← distribute left side

SC + SI = C -
`(1)/(4)` I ( multiply through by 4 to clear the fraction )

4SC + 4SI = 4C - I ( add I to both sides )

4SC + 4SI + I = 4C ( subtract 4SC from both sides )

4SI + I = 4C - 4SC ← factor out I from each term on the left side

I(4S + 1) = 4C - 4SC ← factor out 4C from each term on the right side

I(4S + 1) = 4C(1 - 4S) ← divide both sides by (4S + 1)

I =
`(4C(1-4S))/(4S+1)`