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11a_{0}=1194-66a_{1}
Subtract 66a_{1} from both sides.
\frac{11a_{0}}{11}=\frac{1194-66a_{1}}{11}
Divide both sides by 11.
a_{0}=\frac{1194-66a_{1}}{11}
Dividing by 11 undoes the multiplication by 11.
a_{0}=\frac{1194}{11}-6a_{1}
Divide 1194-66a_{1} by 11.
66a_{1}=1194-11a_{0}
Subtract 11a_{0} from both sides.
\frac{66a_{1}}{66}=\frac{1194-11a_{0}}{66}
Divide both sides by 66.
a_{1}=\frac{1194-11a_{0}}{66}
Dividing by 66 undoes the multiplication by 66.
a_{1}=-\frac{a_{0}}{6}+\frac{199}{11}
Divide 1194-11a_{0} by 66.