Solve for x
x=\frac{4y}{5}-3
Solve for y
y=\frac{5\left(x+3\right)}{4}
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10x=8y-30
Subtract 30 from both sides.
\frac{10x}{10}=\frac{8y-30}{10}
Divide both sides by 10.
x=\frac{8y-30}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{4y}{5}-3
Divide 8y-30 by 10.
8y=10x+30
Swap sides so that all variable terms are on the left hand side.
\frac{8y}{8}=\frac{10x+30}{8}
Divide both sides by 8.
y=\frac{10x+30}{8}
Dividing by 8 undoes the multiplication by 8.
y=\frac{5x+15}{4}
Divide 30+10x by 8.
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