Solve y=5/2-x

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

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by -x+2.

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

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

$$-yx+2y=5$$

Subtract 2y from both sides.

$$-yx=5-2y$$

The equation is in standard form.

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

Divide both sides by -y.

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

Dividing by -y undoes the multiplication by -y.

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

Divide 5-2y by -y.

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

Variable x cannot be equal to 2.

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

Solve for y

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

$$x\neq 2$$