Solve for x
x=-\frac{10y}{9}+\frac{32}{3}
Solve for y
y=-\frac{9x}{10}+\frac{48}{5}
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\frac{3}{2}x=16-\frac{5}{3}y
Subtract \frac{5}{3}y from both sides.
\frac{3}{2}x=-\frac{5y}{3}+16
The equation is in standard form.
\frac{\frac{3}{2}x}{\frac{3}{2}}=\frac{-\frac{5y}{3}+16}{\frac{3}{2}}
Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{-\frac{5y}{3}+16}{\frac{3}{2}}
Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.
x=-\frac{10y}{9}+\frac{32}{3}
Divide 16-\frac{5y}{3} by \frac{3}{2} by multiplying 16-\frac{5y}{3} by the reciprocal of \frac{3}{2}.
\frac{5}{3}y=16-\frac{3}{2}x
Subtract \frac{3}{2}x from both sides.
\frac{5}{3}y=-\frac{3x}{2}+16
The equation is in standard form.
\frac{\frac{5}{3}y}{\frac{5}{3}}=\frac{-\frac{3x}{2}+16}{\frac{5}{3}}
Divide both sides of the equation by \frac{5}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{-\frac{3x}{2}+16}{\frac{5}{3}}
Dividing by \frac{5}{3} undoes the multiplication by \frac{5}{3}.
y=-\frac{9x}{10}+\frac{48}{5}
Divide 16-\frac{3x}{2} by \frac{5}{3} by multiplying 16-\frac{3x}{2} by the reciprocal of \frac{5}{3}.
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