Solve for x
x=\frac{15y}{2}
Solve for y
y=\frac{2x}{15}
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2x=15y
Multiply both sides of the equation by 30, the least common multiple of 15,2.
\frac{2x}{2}=\frac{15y}{2}
Divide both sides by 2.
x=\frac{15y}{2}
Dividing by 2 undoes the multiplication by 2.
2x=15y
Multiply both sides of the equation by 30, the least common multiple of 15,2.
15y=2x
Swap sides so that all variable terms are on the left hand side.
\frac{15y}{15}=\frac{2x}{15}
Divide both sides by 15.
y=\frac{2x}{15}
Dividing by 15 undoes the multiplication by 15.
Examples
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Linear equation
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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