Solve 2/a*2/c=2

$$\frac { 2 } { a } \times \frac { 2 } { c } = 2$$

Solve for a

$$a=\frac{2}{c}$$

$$c\neq 0$$

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 ac, the least common multiple of a,c.

$$c\times 2\times \frac{2}{c}=2ac$$

Express c\times \frac{2}{c} as a single fraction.

$$\frac{c\times 2}{c}\times 2=2ac$$

Cancel out c in both numerator and denominator.

$$2\times 2=2ac$$

Multiply 2 and 2 to get 4.

$$4=2ac$$

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

$$2ac=4$$

The equation is in standard form.

$$2ca=4$$

Divide both sides by 2c.

$$\frac{2ca}{2c}=\frac{4}{2c}$$

Dividing by 2c undoes the multiplication by 2c.

$$a=\frac{4}{2c}$$

Divide 4 by 2c.

$$a=\frac{2}{c}$$

Variable a cannot be equal to 0.

$$a=\frac{2}{c}\text{, }a\neq 0$$

Solve for c

$$c=\frac{2}{a}$$

$$a\neq 0$$