Solve for H
H=\frac{138-4c}{5}
Solve for c
c=-\frac{5H}{4}+\frac{69}{2}
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25H=690-20c
Subtract 20c from both sides.
\frac{25H}{25}=\frac{690-20c}{25}
Divide both sides by 25.
H=\frac{690-20c}{25}
Dividing by 25 undoes the multiplication by 25.
H=\frac{138-4c}{5}
Divide 690-20c by 25.
20c=690-25H
Subtract 25H from both sides.
\frac{20c}{20}=\frac{690-25H}{20}
Divide both sides by 20.
c=\frac{690-25H}{20}
Dividing by 20 undoes the multiplication by 20.
c=-\frac{5H}{4}+\frac{69}{2}
Divide 690-25H by 20.
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