Solve frac{a_{0}}{100}=8/x

$$\frac { a _ { 0 } } { 100 } = \frac { 8 } { x }$$

Solve for a_0

$$a_{0}=\frac{800}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100x, the least common multiple of 100,x.

$$xa_{0}=100\times 8$$

Multiply 100 and 8 to get 800.

$$xa_{0}=800$$

Divide both sides by x.

$$\frac{xa_{0}}{x}=\frac{800}{x}$$

Dividing by x undoes the multiplication by x.

$$a_{0}=\frac{800}{x}$$

Solve for x

$$x=\frac{800}{a_{0}}$$

$$a_{0}\neq 0$$

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 100x, the least common multiple of 100,x.

$$xa_{0}=100\times 8$$

Multiply 100 and 8 to get 800.

$$xa_{0}=800$$

The equation is in standard form.

$$a_{0}x=800$$

Divide both sides by a_{0}.

$$\frac{a_{0}x}{a_{0}}=\frac{800}{a_{0}}$$

Dividing by a_{0} undoes the multiplication by a_{0}.

$$x=\frac{800}{a_{0}}$$

Variable x cannot be equal to 0.

$$x=\frac{800}{a_{0}}\text{, }x\neq 0$$