Solve for a
a=-\frac{a_{100}}{54}+\frac{308}{27}
Solve for a_100
a_{100}=616-54a
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a_{100}+54a=616
Multiply 27 and 2 to get 54.
54a=616-a_{100}
Subtract a_{100} from both sides.
\frac{54a}{54}=\frac{616-a_{100}}{54}
Divide both sides by 54.
a=\frac{616-a_{100}}{54}
Dividing by 54 undoes the multiplication by 54.
a=-\frac{a_{100}}{54}+\frac{308}{27}
Divide 616-a_{100} by 54.
a_{100}+54a=616
Multiply 27 and 2 to get 54.
a_{100}=616-54a
Subtract 54a from both sides.
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