Solve nA/ns=9/7.776

$$\frac{ nA }{ ns } = \frac{ 9 }{ 7.776 }$$

Solve for A

$$A=\frac{125s}{108}$$

$$n\neq 0\text{ and }s\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by ns.

$$nA=ns\times \frac{9}{7.776}$$

Expand \frac{9}{7.776} by multiplying both numerator and the denominator by 1000.

$$nA=ns\times \frac{9000}{7776}$$

Reduce the fraction \frac{9000}{7776} to lowest terms by extracting and canceling out 72.

$$nA=ns\times \frac{125}{108}$$

The equation is in standard form.

$$nA=\frac{125ns}{108}$$

Divide both sides by n.

$$\frac{nA}{n}=\frac{125ns}{108n}$$

Dividing by n undoes the multiplication by n.

$$A=\frac{125ns}{108n}$$

Divide \frac{125ns}{108} by n.

$$A=\frac{125s}{108}$$

Solve for n

$$n\neq 0$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ns.

$$nA=ns\times \frac{9}{7.776}$$

Expand \frac{9}{7.776} by multiplying both numerator and the denominator by 1000.

$$nA=ns\times \frac{9000}{7776}$$

Reduce the fraction \frac{9000}{7776} to lowest terms by extracting and canceling out 72.

$$nA=ns\times \frac{125}{108}$$

Subtract ns\times \frac{125}{108} from both sides.

$$nA-ns\times \frac{125}{108}=0$$

Multiply -1 and \frac{125}{108} to get -\frac{125}{108}.

$$nA-\frac{125}{108}ns=0$$

Combine all terms containing n.

$$\left(A-\frac{125}{108}s\right)n=0$$

The equation is in standard form.

$$\left(-\frac{125s}{108}+A\right)n=0$$

Divide 0 by A-\frac{125}{108}s.

$$n=0$$

Variable n cannot be equal to 0.

$$n\in \emptyset$$