Solve the equation or formula for the variable indicated. 10c - f = -13 + cd, for c

Question
Equations
asked 2021-01-24
Solve the equation or formula for the variable indicated. \(10c - f = -13 + cd\), for c

Answers (1)

2021-01-25
Subtract cd on both sides.
\(10c-f-cd=13+cd-cd\)
\(10c-f-cd=-13\)
Add f on both sides.
\(10c-f-cd+f=-13+f\)
\(10c-cd=f-13\)
Use the Distributive Property to factor out c on the left side of the equation
\(c(10-d)=f-13\)
Divide both sides by \(10-d\).
\(c\frac{10-d}{10-d}=\frac{f-13}{10-d}\)
\(c=\frac{f-13}{10-d}\)
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