Solve 18/z=10/a*18a

$$\frac { 18 } { z } = \frac { 10 } { a } \times 18 a$$

Solve for a

$$a\neq 0$$

$$z = \frac{1}{10} = 0.1$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by az, the least common multiple of z,a.

$$a\times 18=z\times 10\times 18a$$

Multiply 10 and 18 to get 180.

$$a\times 18=z\times 180a$$

Subtract z\times 180a from both sides.

$$a\times 18-z\times 180a=0$$

Multiply -1 and 180 to get -180.

$$a\times 18-180za=0$$

Combine all terms containing a.

$$\left(18-180z\right)a=0$$

Divide 0 by 18-180z.

$$a=0$$

Variable a cannot be equal to 0.

$$a\in \emptyset$$

Solve for z

$$z = \frac{1}{10} = 0.1$$

$$a\neq 0$$

Steps for Solving Linear Equation

Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by az, the least common multiple of z,a.

$$a\times 18=z\times 10\times 18a$$

Multiply 10 and 18 to get 180.

$$a\times 18=z\times 180a$$

Swap sides so that all variable terms are on the left hand side.

$$z\times 180a=a\times 18$$

The equation is in standard form.

$$180az=18a$$

Divide both sides by 180a.

$$\frac{180az}{180a}=\frac{18a}{180a}$$

Dividing by 180a undoes the multiplication by 180a.

$$z=\frac{18a}{180a}$$

Divide 18a by 180a.

$$z=\frac{1}{10}$$