Solve y=6/3-x

$$y = \frac { 6 } { 3 - x }$$

Solve for x

$$x=3-\frac{6}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by -x+3.

$$y\left(-x+3\right)=6$$

Use the distributive property to multiply y by -x+3.

$$-yx+3y=6$$

Subtract 3y from both sides.

$$-yx=6-3y$$

The equation is in standard form.

$$\left(-y\right)x=6-3y$$

Divide both sides by -y.

$$\frac{\left(-y\right)x}{-y}=\frac{6-3y}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$x=\frac{6-3y}{-y}$$

Divide 6-3y by -y.

$$x=3-\frac{6}{y}$$

Variable x cannot be equal to 3.

$$x=3-\frac{6}{y}\text{, }x\neq 3$$

Solve for y

$$y=\frac{6}{3-x}$$

$$x\neq 3$$