Solve for x
x=-\frac{5y}{7}+5
Solve for y
y=-\frac{7x}{5}+7
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7x+5y=35
Multiply both sides of the equation by 35, the least common multiple of 5,7.
7x=35-5y
Subtract 5y from both sides.
\frac{7x}{7}=\frac{35-5y}{7}
Divide both sides by 7.
x=\frac{35-5y}{7}
Dividing by 7 undoes the multiplication by 7.
x=-\frac{5y}{7}+5
Divide 35-5y by 7.
7x+5y=35
Multiply both sides of the equation by 35, the least common multiple of 5,7.
5y=35-7x
Subtract 7x from both sides.
\frac{5y}{5}=\frac{35-7x}{5}
Divide both sides by 5.
y=\frac{35-7x}{5}
Dividing by 5 undoes the multiplication by 5.
y=-\frac{7x}{5}+7
Divide 35-7x by 5.
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