Solve z/5-1/x=z/6

$$\frac { z } { 5 } - \frac { 1 } { x } = \frac { z } { 6 }$$

Solve for x

$$x=\frac{30}{z}$$

$$z\neq 0$$

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 30x, the least common multiple of 5,x,6.

$$6xz-30=5xz$$

Subtract 5xz from both sides.

$$6xz-30-5xz=0$$

Combine 6xz and -5xz to get xz.

$$xz-30=0$$

Add 30 to both sides. Anything plus zero gives itself.

$$xz=30$$

The equation is in standard form.

$$zx=30$$

Divide both sides by z.

$$\frac{zx}{z}=\frac{30}{z}$$

Dividing by z undoes the multiplication by z.

$$x=\frac{30}{z}$$

Variable x cannot be equal to 0.

$$x=\frac{30}{z}\text{, }x\neq 0$$

Solve for z

$$z=\frac{30}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30x, the least common multiple of 5,x,6.

$$6xz-30=5xz$$

Subtract 5xz from both sides.

$$6xz-30-5xz=0$$

Combine 6xz and -5xz to get xz.

$$xz-30=0$$

Add 30 to both sides. Anything plus zero gives itself.

$$xz=30$$

Divide both sides by x.

$$\frac{xz}{x}=\frac{30}{x}$$

Dividing by x undoes the multiplication by x.

$$z=\frac{30}{x}$$