Solve for x
x=\frac{5y}{6}
Solve for y
y=\frac{6x}{5}
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8y=9.6x
Multiply both sides of the equation by 2.
9.6x=8y
Swap sides so that all variable terms are on the left hand side.
\frac{9.6x}{9.6}=\frac{8y}{9.6}
Divide both sides of the equation by 9.6, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{8y}{9.6}
Dividing by 9.6 undoes the multiplication by 9.6.
x=\frac{5y}{6}
Divide 8y by 9.6 by multiplying 8y by the reciprocal of 9.6.
8y=9.6x
Multiply both sides of the equation by 2.
8y=\frac{48x}{5}
The equation is in standard form.
\frac{8y}{8}=\frac{48x}{5\times 8}
Divide both sides by 8.
y=\frac{48x}{5\times 8}
Dividing by 8 undoes the multiplication by 8.
y=\frac{6x}{5}
Divide \frac{48x}{5} by 8.
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