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Solve for a_n, a_1
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a_{n}-2a_{n}=1
Consider the first equation. Subtract 2a_{n} from both sides.
-a_{n}=1
Combine a_{n} and -2a_{n} to get -a_{n}.
a_{n}=-1
Divide both sides by -1.
a_{n}=-1 a_{1}=1
The system is now solved.