Solve R_{1}+2R_{1}+5R_{2}=78

$$R _ { 1 } + 2 R _ { 1 } + 5 R _ { 2 } = 78$$

Solve for R_1

$$R_{1}=-\frac{5R_{2}}{3}+26$$

Steps for Solving Linear Equation

Combine R_{1} and 2R_{1} to get 3R_{1}.

$$3R_{1}+5R_{2}=78$$

Subtract 5R_{2} from both sides.

$$3R_{1}=78-5R_{2}$$

Divide both sides by 3.

$$\frac{3R_{1}}{3}=\frac{78-5R_{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$R_{1}=\frac{78-5R_{2}}{3}$$

Divide 78-5R_{2} by 3.

$$R_{1}=-\frac{5R_{2}}{3}+26$$

Solve for R_2

$$R_{2}=\frac{78-3R_{1}}{5}$$

Steps for Solving Linear Equation

Combine R_{1} and 2R_{1} to get 3R_{1}.

$$3R_{1}+5R_{2}=78$$

Subtract 3R_{1} from both sides.

$$5R_{2}=78-3R_{1}$$

Divide both sides by 5.

$$\frac{5R_{2}}{5}=\frac{78-3R_{1}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$R_{2}=\frac{78-3R_{1}}{5}$$