Solve 7/8-2/3=7/8+2/3text{an}4104

$$\frac { 7 } { 8 } - \frac { 2 } { 3 } = \frac { 7 } { 8 } + \frac { 2 } { 3 } \text { an } 4104$$

Solve for a

$$a=-\frac{1}{4104n}$$

$$n\neq 0$$

Steps for Solving Linear Equation

Subtract \frac{2}{3} from \frac{7}{8} to get \frac{5}{24}.

$$\frac{5}{24}=\frac{7}{8}+\frac{2}{3}an\times 4104$$

Multiply \frac{2}{3} and 4104 to get 2736.

$$\frac{5}{24}=\frac{7}{8}+2736an$$

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

$$\frac{7}{8}+2736an=\frac{5}{24}$$

Subtract \frac{7}{8} from both sides.

$$2736an=\frac{5}{24}-\frac{7}{8}$$

Subtract \frac{7}{8} from \frac{5}{24} to get -\frac{2}{3}.

$$2736an=-\frac{2}{3}$$

The equation is in standard form.

$$2736na=-\frac{2}{3}$$

Divide both sides by 2736n.

$$\frac{2736na}{2736n}=-\frac{\frac{2}{3}}{2736n}$$

Dividing by 2736n undoes the multiplication by 2736n.

$$a=-\frac{\frac{2}{3}}{2736n}$$

Divide -\frac{2}{3} by 2736n.

$$a=-\frac{1}{4104n}$$

Solve for n

$$n=-\frac{1}{4104a}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Subtract \frac{2}{3} from \frac{7}{8} to get \frac{5}{24}.

$$\frac{5}{24}=\frac{7}{8}+\frac{2}{3}an\times 4104$$

Multiply \frac{2}{3} and 4104 to get 2736.

$$\frac{5}{24}=\frac{7}{8}+2736an$$

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

$$\frac{7}{8}+2736an=\frac{5}{24}$$

Subtract \frac{7}{8} from both sides.

$$2736an=\frac{5}{24}-\frac{7}{8}$$

Subtract \frac{7}{8} from \frac{5}{24} to get -\frac{2}{3}.

$$2736an=-\frac{2}{3}$$

Divide both sides by 2736a.

$$\frac{2736an}{2736a}=-\frac{\frac{2}{3}}{2736a}$$

Dividing by 2736a undoes the multiplication by 2736a.

$$n=-\frac{\frac{2}{3}}{2736a}$$

Divide -\frac{2}{3} by 2736a.

$$n=-\frac{1}{4104a}$$