Solve 5/x=15/35

$$\frac { 5 } { x } = \frac { 15 } { 35 }$$

Solve for x

$$x = \frac{35}{3} = 11\frac{2}{3} \approx 11.666666667$$

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 35x, the least common multiple of x,35.

$$35\times 5=x\times 15$$

Multiply 35 and 5 to get 175.

$$175=x\times 15$$

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

$$x\times 15=175$$

Divide both sides by 15.

$$x=\frac{175}{15}$$

Reduce the fraction \frac{175}{15} to lowest terms by extracting and canceling out 5.

$$x=\frac{35}{3}$$