Solve y-z=6/x

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

Solve for x

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

$$y\neq z$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$xy-zx=6$$

Combine all terms containing x.

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

Divide both sides by y-z.

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

Dividing by y-z undoes the multiplication by y-z.

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

Variable x cannot be equal to 0.

$$x=\frac{6}{y-z}\text{, }x\neq 0$$

Solve for y

$$y=z+\frac{6}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$xy-zx=6$$

Add zx to both sides.

$$xy=6+zx$$

The equation is in standard form.

$$xy=xz+6$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{xz+6}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{xz+6}{x}$$

Divide 6+zx by x.

$$y=z+\frac{6}{x}$$