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9x=77-10y
Subtract 10y from both sides.
\frac{9x}{9}=\frac{77-10y}{9}
Divide both sides by 9.
x=\frac{77-10y}{9}
Dividing by 9 undoes the multiplication by 9.
10y=77-9x
Subtract 9x from both sides.
\frac{10y}{10}=\frac{77-9x}{10}
Divide both sides by 10.
y=\frac{77-9x}{10}
Dividing by 10 undoes the multiplication by 10.