Solve for x
x=-\frac{3y}{1-y}
y\neq 1
Solve for y
y=-\frac{x}{3-x}
x\neq 3
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x=y\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3.
x=yx-3y
Use the distributive property to multiply y by x-3.
x-yx=-3y
Subtract yx from both sides.
\left(1-y\right)x=-3y
Combine all terms containing x.
\frac{\left(1-y\right)x}{1-y}=-\frac{3y}{1-y}
Divide both sides by -y+1.
x=-\frac{3y}{1-y}
Dividing by -y+1 undoes the multiplication by -y+1.
x=-\frac{3y}{1-y}\text{, }x\neq 3
Variable x cannot be equal to 3.
x=y\left(x-3\right)
Multiply both sides of the equation by x-3.
x=yx-3y
Use the distributive property to multiply y by x-3.
yx-3y=x
Swap sides so that all variable terms are on the left hand side.
\left(x-3\right)y=x
Combine all terms containing y.
\frac{\left(x-3\right)y}{x-3}=\frac{x}{x-3}
Divide both sides by x-3.
y=\frac{x}{x-3}
Dividing by x-3 undoes the multiplication by x-3.
Examples
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Simultaneous equation
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Integration
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Limits
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