Solve for x
x=-\frac{y+1}{2-y}
y\neq 2
Solve for y
y=\frac{2x+1}{x-1}
x\neq 1
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y\left(x-1\right)=\left(x-1\right)\times 2+3
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
yx-y=\left(x-1\right)\times 2+3
Use the distributive property to multiply y by x-1.
yx-y=2x-2+3
Use the distributive property to multiply x-1 by 2.
yx-y=2x+1
Add -2 and 3 to get 1.
yx-y-2x=1
Subtract 2x from both sides.
yx-2x=1+y
Add y to both sides.
\left(y-2\right)x=1+y
Combine all terms containing x.
\left(y-2\right)x=y+1
The equation is in standard form.
\frac{\left(y-2\right)x}{y-2}=\frac{y+1}{y-2}
Divide both sides by y-2.
x=\frac{y+1}{y-2}
Dividing by y-2 undoes the multiplication by y-2.
x=\frac{y+1}{y-2}\text{, }x\neq 1
Variable x cannot be equal to 1.
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