Solve 5/x=9/6

$$\frac { 5 } { x } = \frac { 9 } { 6 }$$

Solve for x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

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 6x, the least common multiple of x,6.

$$6\times 5=x\times 9$$

Multiply 6 and 5 to get 30.

$$30=x\times 9$$

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

$$x\times 9=30$$

Divide both sides by 9.

$$x=\frac{30}{9}$$

Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.

$$x=\frac{10}{3}$$