Solve for x
x=\frac{2y}{3}-1
Solve for y
y=\frac{3\left(x+1\right)}{2}
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3x=2y-3
Swap sides so that all variable terms are on the left hand side.
\frac{3x}{3}=\frac{2y-3}{3}
Divide both sides by 3.
x=\frac{2y-3}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{2y}{3}-1
Divide 2y-3 by 3.
2y=3x+3
Add 3 to both sides.
\frac{2y}{2}=\frac{3x+3}{2}
Divide both sides by 2.
y=\frac{3x+3}{2}
Dividing by 2 undoes the multiplication by 2.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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