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

Could somebody please explain how this is the correct answer please​-example-1
User Glove
by
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1 Answer

4 votes

Answer:

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)

User Kyle Goode
by
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