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10x=1000-10y
Subtract 10y from both sides.
\frac{10x}{10}=\frac{1000-10y}{10}
Divide both sides by 10.
x=\frac{1000-10y}{10}
Dividing by 10 undoes the multiplication by 10.
x=100-y
Divide 1000-10y by 10.
10y=1000-10x
Subtract 10x from both sides.
\frac{10y}{10}=\frac{1000-10x}{10}
Divide both sides by 10.
y=\frac{1000-10x}{10}
Dividing by 10 undoes the multiplication by 10.
y=100-x
Divide 1000-10x by 10.