Solve 63/x=35^2/10^2

$$\frac{ 63 }{ x } = \frac{ { 35 }^{ 2 } }{ { 10 }^{ 2 } }$$

Solve for x

$$x = \frac{36}{7} = 5\frac{1}{7} \approx 5.142857143$$

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.

$$63=\frac{1}{100}x\times 35^{2}$$

Calculate 35 to the power of 2 and get 1225.

$$63=\frac{1}{100}x\times 1225$$

Multiply \frac{1}{100} and 1225 to get \frac{1225}{100}.

$$63=\frac{1225}{100}x$$

Reduce the fraction \frac{1225}{100} to lowest terms by extracting and canceling out 25.

$$63=\frac{49}{4}x$$

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

$$\frac{49}{4}x=63$$

Multiply both sides by \frac{4}{49}, the reciprocal of \frac{49}{4}.

$$x=63\times \frac{4}{49}$$

Express 63\times \frac{4}{49} as a single fraction.

$$x=\frac{63\times 4}{49}$$

Multiply 63 and 4 to get 252.

$$x=\frac{252}{49}$$

Reduce the fraction \frac{252}{49} to lowest terms by extracting and canceling out 7.

$$x=\frac{36}{7}$$