Solve for x
x=-\frac{6y}{5}+30
Solve for y
y=-\frac{5x}{6}+25
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5x+6y=150
Multiply both sides of the equation by 30, the least common multiple of 6,5.
5x=150-6y
Subtract 6y from both sides.
\frac{5x}{5}=\frac{150-6y}{5}
Divide both sides by 5.
x=\frac{150-6y}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{6y}{5}+30
Divide 150-6y by 5.
5x+6y=150
Multiply both sides of the equation by 30, the least common multiple of 6,5.
6y=150-5x
Subtract 5x from both sides.
\frac{6y}{6}=\frac{150-5x}{6}
Divide both sides by 6.
y=\frac{150-5x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{5x}{6}+25
Divide 150-5x by 6.
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