Solve for x
x=\frac{8y+1}{3}
Solve for y
y=\frac{3x-1}{8}
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9x=24y+3
Swap sides so that all variable terms are on the left hand side.
\frac{9x}{9}=\frac{24y+3}{9}
Divide both sides by 9.
x=\frac{24y+3}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{8y+1}{3}
Divide 24y+3 by 9.
24y=9x-3
Subtract 3 from both sides.
\frac{24y}{24}=\frac{9x-3}{24}
Divide both sides by 24.
y=\frac{9x-3}{24}
Dividing by 24 undoes the multiplication by 24.
y=\frac{3x-1}{8}
Divide 9x-3 by 24.
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