Solve y=3/1-x+2

$$y = \frac { 3 } { 1 - x } + 2$$

Solve for x

$$x=-\frac{5-y}{y-2}$$

$$y\neq 2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -x+1.

$$y\left(-x+1\right)=3+\left(-x+1\right)\times 2$$

Use the distributive property to multiply y by -x+1.

$$-yx+y=3+\left(-x+1\right)\times 2$$

Use the distributive property to multiply -x+1 by 2.

$$-yx+y=3-2x+2$$

Add 3 and 2 to get 5.

$$-yx+y=5-2x$$

Add 2x to both sides.

$$-yx+y+2x=5$$

Subtract y from both sides.

$$-yx+2x=5-y$$

Combine all terms containing x.

$$\left(-y+2\right)x=5-y$$

The equation is in standard form.

$$\left(2-y\right)x=5-y$$

Divide both sides by -y+2.

$$\frac{\left(2-y\right)x}{2-y}=\frac{5-y}{2-y}$$

Dividing by -y+2 undoes the multiplication by -y+2.

$$x=\frac{5-y}{2-y}$$

Variable x cannot be equal to 1.

$$x=\frac{5-y}{2-y}\text{, }x\neq 1$$

Solve for y

$$y=-\frac{2x-5}{1-x}$$

$$x\neq 1$$