Solve a/b=2/7.

$$\frac { a } { b } = \frac { 2 } { 7 } .$$

Solve for a

$$a=\frac{2b}{7}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7b, the least common multiple of b,7.

$$7a=2b$$

Divide both sides by 7.

$$\frac{7a}{7}=\frac{2b}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$a=\frac{2b}{7}$$

Solve for b

$$b=\frac{7a}{2}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7b, the least common multiple of b,7.

$$7a=2b$$

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

$$2b=7a$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{7a}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{7a}{2}$$

Variable b cannot be equal to 0.

$$b=\frac{7a}{2}\text{, }b\neq 0$$