Solve for x
x=-\frac{2y-1}{y-2}
y\neq 2
Solve for y
y=\frac{2x+1}{x+2}
x\neq -2
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y\left(x+2\right)=2x+1
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.
yx+2y=2x+1
Use the distributive property to multiply y by x+2.
yx+2y-2x=1
Subtract 2x from both sides.
yx-2x=1-2y
Subtract 2y from both sides.
\left(y-2\right)x=1-2y
Combine all terms containing x.
\frac{\left(y-2\right)x}{y-2}=\frac{1-2y}{y-2}
Divide both sides by y-2.
x=\frac{1-2y}{y-2}
Dividing by y-2 undoes the multiplication by y-2.
x=\frac{1-2y}{y-2}\text{, }x\neq -2
Variable x cannot be equal to -2.
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