Solve for x
x=-\frac{3y}{5}+21
Solve for y
y=-\frac{5x}{3}+35
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5x+3y=105
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x=105-3y
Subtract 3y from both sides.
\frac{5x}{5}=\frac{105-3y}{5}
Divide both sides by 5.
x=\frac{105-3y}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{3y}{5}+21
Divide 105-3y by 5.
5x+3y=105
Multiply both sides of the equation by 15, the least common multiple of 3,5.
3y=105-5x
Subtract 5x from both sides.
\frac{3y}{3}=\frac{105-5x}{3}
Divide both sides by 3.
y=\frac{105-5x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{5x}{3}+35
Divide 105-5x by 3.
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