Solve a/b=6/7

$$\frac { a } { b } = \frac { 6 } { 7 }$$

Solve for a

$$a=\frac{6b}{7}$$

$$b\neq 0$$

Steps for Solving Linear Equation

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

$$7a=6b$$

Divide both sides by 7.

$$\frac{7a}{7}=\frac{6b}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$a=\frac{6b}{7}$$

Solve for b

$$b=\frac{7a}{6}$$

$$a\neq 0$$

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.

$$7a=6b$$

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

$$6b=7a$$

Divide both sides by 6.

$$\frac{6b}{6}=\frac{7a}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$b=\frac{7a}{6}$$

Variable b cannot be equal to 0.

$$b=\frac{7a}{6}\text{, }b\neq 0$$