Solve 8.5/10.5=11/x

$$\frac { 8.5 } { 10.5 } = \frac { 11 } { x }$$

Solve for x

$$x = \frac{231}{17} = 13\frac{10}{17} \approx 13.588235294$$

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.

$$x\times \frac{8.5}{10.5}=11$$

Expand \frac{8.5}{10.5} by multiplying both numerator and the denominator by 10.

$$x\times \frac{85}{105}=11$$

Reduce the fraction \frac{85}{105} to lowest terms by extracting and canceling out 5.

$$x\times \frac{17}{21}=11$$

Multiply both sides by \frac{21}{17}, the reciprocal of \frac{17}{21}.

$$x=11\times \frac{21}{17}$$

Express 11\times \frac{21}{17} as a single fraction.

$$x=\frac{11\times 21}{17}$$

Multiply 11 and 21 to get 231.

$$x=\frac{231}{17}$$