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Solve for a, b, c
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a+6\sqrt{5}=1+3\sqrt{5}
Consider the first equation. Swap sides so that all variable terms are on the left hand side.
a=1+3\sqrt{5}-6\sqrt{5}
Subtract 6\sqrt{5} from both sides.
a=1-3\sqrt{5}
Combine 3\sqrt{5} and -6\sqrt{5} to get -3\sqrt{5}.
a=1-3\sqrt{5} b=4-3\sqrt{5} c=4-3\sqrt{5}
The system is now solved.