Solve 6:x=2/7:1/3

$$6 : x = \frac { 2 } { 7 } : \frac { 1 } { 3 }$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$6=x\times \frac{\frac{2}{7}}{\frac{1}{3}}$$

Divide \frac{2}{7} by \frac{1}{3} by multiplying \frac{2}{7} by the reciprocal of \frac{1}{3}.

$$6=x\times \frac{2}{7}\times 3$$

Express \frac{2}{7}\times 3 as a single fraction.

$$6=x\times \frac{2\times 3}{7}$$

Multiply 2 and 3 to get 6.

$$6=x\times \frac{6}{7}$$

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

$$x\times \frac{6}{7}=6$$

Multiply both sides by \frac{7}{6}, the reciprocal of \frac{6}{7}.

$$x=6\times \frac{7}{6}$$

Cancel out 6 and 6.

$$x=7$$