Solve 3/a*1/b=2

$$\frac { 3 } { a } \cdot \frac { 1 } { b } = 2$$

Solve for a

$$a=\frac{3}{2b}$$

$$b\neq 0$$

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 ab, the least common multiple of a,b.

$$b\times 3\times \frac{1}{b}=2ab$$

Express b\times \frac{1}{b} as a single fraction.

$$\frac{b}{b}\times 3=2ab$$

Cancel out b in both numerator and denominator.

$$1\times 3=2ab$$

Multiply 1 and 3 to get 3.

$$3=2ab$$

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

$$2ab=3$$

The equation is in standard form.

$$2ba=3$$

Divide both sides by 2b.

$$\frac{2ba}{2b}=\frac{3}{2b}$$

Dividing by 2b undoes the multiplication by 2b.

$$a=\frac{3}{2b}$$

Variable a cannot be equal to 0.

$$a=\frac{3}{2b}\text{, }a\neq 0$$

Solve for b

$$b=\frac{3}{2a}$$

$$a\neq 0$$