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20x+10y=100
Swap sides so that all variable terms are on the left hand side.
20x=100-10y
Subtract 10y from both sides.
\frac{20x}{20}=\frac{100-10y}{20}
Divide both sides by 20.
x=\frac{100-10y}{20}
Dividing by 20 undoes the multiplication by 20.
x=-\frac{y}{2}+5
Divide 100-10y by 20.
20x+10y=100
Swap sides so that all variable terms are on the left hand side.
10y=100-20x
Subtract 20x from both sides.
\frac{10y}{10}=\frac{100-20x}{10}
Divide both sides by 10.
y=\frac{100-20x}{10}
Dividing by 10 undoes the multiplication by 10.
y=10-2x
Divide 100-20x by 10.