Solve for x
x=\frac{2y}{3}
Solve for y
y=\frac{3x}{2}
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3x=2y
Swap sides so that all variable terms are on the left hand side.
\frac{3x}{3}=\frac{2y}{3}
Divide both sides by 3.
x=\frac{2y}{3}
Dividing by 3 undoes the multiplication by 3.
2y=3x
The equation is in standard form.
\frac{2y}{2}=\frac{3x}{2}
Divide both sides by 2.
y=\frac{3x}{2}
Dividing by 2 undoes the multiplication by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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