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2x+5y=50
Swap sides so that all variable terms are on the left hand side.
2x=50-5y
Subtract 5y from both sides.
\frac{2x}{2}=\frac{50-5y}{2}
Divide both sides by 2.
x=\frac{50-5y}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{5y}{2}+25
Divide 50-5y by 2.
2x+5y=50
Swap sides so that all variable terms are on the left hand side.
5y=50-2x
Subtract 2x from both sides.
\frac{5y}{5}=\frac{50-2x}{5}
Divide both sides by 5.
y=\frac{50-2x}{5}
Dividing by 5 undoes the multiplication by 5.
y=-\frac{2x}{5}+10
Divide 50-2x by 5.