Solve n_{1}+2.6n/2=3.6n_{3}

$$n _ { 1 } + 2.6 n / 2 = 3.6 n _ { 3 }$$

Solve for n

$$n=\frac{36n_{3}-10n_{1}}{13}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2n_{1}+2.6n=7.2n_{3}$$

Subtract 2n_{1} from both sides.

$$2.6n=7.2n_{3}-2n_{1}$$

The equation is in standard form.

$$2.6n=\frac{36n_{3}}{5}-2n_{1}$$

Divide both sides of the equation by 2.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2.6n}{2.6}=\frac{\frac{36n_{3}}{5}-2n_{1}}{2.6}$$

Dividing by 2.6 undoes the multiplication by 2.6.

$$n=\frac{\frac{36n_{3}}{5}-2n_{1}}{2.6}$$

Divide \frac{36n_{3}}{5}-2n_{1} by 2.6 by multiplying \frac{36n_{3}}{5}-2n_{1} by the reciprocal of 2.6.

$$n=\frac{36n_{3}-10n_{1}}{13}$$

Solve for n_1

$$n_{1}=\frac{18n_{3}}{5}-\frac{13n}{10}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2n_{1}+2.6n=7.2n_{3}$$

Subtract 2.6n from both sides.

$$2n_{1}=7.2n_{3}-2.6n$$

The equation is in standard form.

$$2n_{1}=\frac{36n_{3}-13n}{5}$$

Divide both sides by 2.

$$\frac{2n_{1}}{2}=\frac{36n_{3}-13n}{2\times 5}$$

Dividing by 2 undoes the multiplication by 2.

$$n_{1}=\frac{36n_{3}-13n}{2\times 5}$$

Divide \frac{36n_{3}-13n}{5} by 2.

$$n_{1}=\frac{18n_{3}}{5}-\frac{13n}{10}$$