Solve =n(A)/n(S)=78/100=

$$= \frac { n ( A ) } { n ( S ) } = \frac { 78 } { 100 } =$$

Solve for A

$$A=\frac{39S}{50}$$

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

Steps for Solving Linear Equation

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

$$100nA=Sn\times 78$$

Reorder the terms.

$$100An=78Sn$$

The equation is in standard form.

$$100nA=78Sn$$

Divide both sides by 100n.

$$\frac{100nA}{100n}=\frac{78Sn}{100n}$$

Dividing by 100n undoes the multiplication by 100n.

$$A=\frac{78Sn}{100n}$$

Divide 78Sn by 100n.

$$A=\frac{39S}{50}$$

Solve for S

$$S=\frac{50A}{39}$$

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

Steps for Solving Linear Equation

Variable S cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100Sn, the least common multiple of nS,100.

$$100nA=Sn\times 78$$

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

$$Sn\times 78=100nA$$

The equation is in standard form.

$$78nS=100An$$

Divide both sides by 78n.

$$\frac{78nS}{78n}=\frac{100An}{78n}$$

Dividing by 78n undoes the multiplication by 78n.

$$S=\frac{100An}{78n}$$

Divide 100nA by 78n.

$$S=\frac{50A}{39}$$

Variable S cannot be equal to 0.

$$S=\frac{50A}{39}\text{, }S\neq 0$$