Solve P_{1}+P_{2}=frac{frac{x_{1}+x_{2}}{81n}}{θ}

$$P _ { 1 } + P _ { 2 } = \frac { \frac { x _ { 1 } + x _ { 2 } } { 81 n } } { \theta }$$

Solve for P_1

$$P_{1}=-\frac{81P_{2}n\theta -x_{2}-x_{1}}{81n\theta }$$

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

Steps for Solving Linear Equation

Multiply both sides of the equation by \theta .

$$\theta P_{1}+\theta P_{2}=\frac{x_{1}+x_{2}}{81n}$$

Subtract \theta P_{2} from both sides.

$$\theta P_{1}=\frac{x_{1}+x_{2}}{81n}-\theta P_{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply \theta P_{2} times \frac{81n}{81n}.

$$\theta P_{1}=\frac{x_{1}+x_{2}}{81n}-\frac{\theta P_{2}\times 81n}{81n}$$

Since \frac{x_{1}+x_{2}}{81n} and \frac{\theta P_{2}\times 81n}{81n} have the same denominator, subtract them by subtracting their numerators.

$$\theta P_{1}=\frac{x_{1}+x_{2}-\theta P_{2}\times 81n}{81n}$$

Do the multiplications in x_{1}+x_{2}-\theta P_{2}\times 81n.

$$\theta P_{1}=\frac{x_{1}+x_{2}-81\theta P_{2}n}{81n}$$

Multiply both sides of the equation by 81n.

$$\theta P_{1}\times 81n=x_{1}+x_{2}-81\theta P_{2}n$$

Reorder the terms.

$$81P_{1}n\theta =x_{1}+x_{2}-81P_{2}n\theta$$

The equation is in standard form.

$$81n\theta P_{1}=x_{1}+x_{2}-81P_{2}n\theta$$

Divide both sides by 81n\theta .

$$\frac{81n\theta P_{1}}{81n\theta }=\frac{x_{1}+x_{2}-81P_{2}n\theta }{81n\theta }$$

Dividing by 81n\theta undoes the multiplication by 81n\theta .

$$P_{1}=\frac{x_{1}+x_{2}-81P_{2}n\theta }{81n\theta }$$

Solve for P_2

$$P_{2}=-\frac{81P_{1}n\theta -x_{2}-x_{1}}{81n\theta }$$

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

Steps for Solving Linear Equation

Multiply both sides of the equation by \theta .

$$\theta P_{1}+\theta P_{2}=\frac{x_{1}+x_{2}}{81n}$$

Subtract \theta P_{1} from both sides.

$$\theta P_{2}=\frac{x_{1}+x_{2}}{81n}-\theta P_{1}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply \theta P_{1} times \frac{81n}{81n}.

$$\theta P_{2}=\frac{x_{1}+x_{2}}{81n}-\frac{\theta P_{1}\times 81n}{81n}$$

Since \frac{x_{1}+x_{2}}{81n} and \frac{\theta P_{1}\times 81n}{81n} have the same denominator, subtract them by subtracting their numerators.

$$\theta P_{2}=\frac{x_{1}+x_{2}-\theta P_{1}\times 81n}{81n}$$

Do the multiplications in x_{1}+x_{2}-\theta P_{1}\times 81n.

$$\theta P_{2}=\frac{x_{1}+x_{2}-81\theta P_{1}n}{81n}$$

Multiply both sides of the equation by 81n.

$$\theta P_{2}\times 81n=x_{1}+x_{2}-81\theta P_{1}n$$

Reorder the terms.

$$81P_{2}n\theta =x_{1}+x_{2}-81P_{1}n\theta$$

The equation is in standard form.

$$81n\theta P_{2}=x_{1}+x_{2}-81P_{1}n\theta$$

Divide both sides by 81n\theta .

$$\frac{81n\theta P_{2}}{81n\theta }=\frac{x_{1}+x_{2}-81P_{1}n\theta }{81n\theta }$$

Dividing by 81n\theta undoes the multiplication by 81n\theta .

$$P_{2}=\frac{x_{1}+x_{2}-81P_{1}n\theta }{81n\theta }$$