Solve for x
x=\frac{13y}{6}
Solve for y
y=\frac{6x}{13}
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6x=8y+5y
Add 5y to both sides.
6x=13y
Combine 8y and 5y to get 13y.
\frac{6x}{6}=\frac{13y}{6}
Divide both sides by 6.
x=\frac{13y}{6}
Dividing by 6 undoes the multiplication by 6.
6x-5y-8y=0
Subtract 8y from both sides.
6x-13y=0
Combine -5y and -8y to get -13y.
-13y=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
\frac{-13y}{-13}=-\frac{6x}{-13}
Divide both sides by -13.
y=-\frac{6x}{-13}
Dividing by -13 undoes the multiplication by -13.
y=\frac{6x}{13}
Divide -6x by -13.
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