Solve for k
k=\frac{5C}{7}+94
Solve for C
C=\frac{7\left(k-94\right)}{5}
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C=\frac{7}{5}k-\frac{658}{5}
Use the distributive property to multiply \frac{7}{5} by k-94.
\frac{7}{5}k-\frac{658}{5}=C
Swap sides so that all variable terms are on the left hand side.
\frac{7}{5}k=C+\frac{658}{5}
Add \frac{658}{5} to both sides.
\frac{\frac{7}{5}k}{\frac{7}{5}}=\frac{C+\frac{658}{5}}{\frac{7}{5}}
Divide both sides of the equation by \frac{7}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.
k=\frac{C+\frac{658}{5}}{\frac{7}{5}}
Dividing by \frac{7}{5} undoes the multiplication by \frac{7}{5}.
k=\frac{5C}{7}+94
Divide C+\frac{658}{5} by \frac{7}{5} by multiplying C+\frac{658}{5} by the reciprocal of \frac{7}{5}.
C=\frac{7}{5}k-\frac{658}{5}
Use the distributive property to multiply \frac{7}{5} by k-94.
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