Solve for x
x=\frac{4y-11}{3}
Solve for y
y=\frac{3x+11}{4}
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-\frac{3}{2}x=\frac{11}{2}-2y
Subtract 2y from both sides.
\frac{-\frac{3}{2}x}{-\frac{3}{2}}=\frac{\frac{11}{2}-2y}{-\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{11}{2}-2y}{-\frac{3}{2}}
Dividing by -\frac{3}{2} undoes the multiplication by -\frac{3}{2}.
x=\frac{4y-11}{3}
Divide \frac{11}{2}-2y by -\frac{3}{2} by multiplying \frac{11}{2}-2y by the reciprocal of -\frac{3}{2}.
2y=\frac{11}{2}+\frac{3}{2}x
Add \frac{3}{2}x to both sides.
2y=\frac{3x+11}{2}
The equation is in standard form.
\frac{2y}{2}=\frac{3x+11}{2\times 2}
Divide both sides by 2.
y=\frac{3x+11}{2\times 2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{3x+11}{4}
Divide \frac{11+3x}{2} by 2.
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