Solve 2/8.45=10/x

$$\frac { 2 } { 8.45 } = \frac { 10 } { x }$$

Solve for x

$$x=42.25$$

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.

$$x\times \frac{2}{8.45}=10$$

Expand \frac{2}{8.45} by multiplying both numerator and the denominator by 100.

$$x\times \frac{200}{845}=10$$

Reduce the fraction \frac{200}{845} to lowest terms by extracting and canceling out 5.

$$x\times \frac{40}{169}=10$$

Multiply both sides by \frac{169}{40}, the reciprocal of \frac{40}{169}.

$$x=10\times \frac{169}{40}$$

Express 10\times \frac{169}{40} as a single fraction.

$$x=\frac{10\times 169}{40}$$

Multiply 10 and 169 to get 1690.

$$x=\frac{1690}{40}$$

Reduce the fraction \frac{1690}{40} to lowest terms by extracting and canceling out 10.

$$x=\frac{169}{4}$$