Solve a+a_{2}=3a

$$a + a _ { 2 } = 3 a$$

Solve for a

$$a=\frac{a_{2}}{2}$$

Steps for Solving Linear Equation

Subtract 3a from both sides.

$$a+a_{2}-3a=0$$

Combine a and -3a to get -2a.

$$-2a+a_{2}=0$$

Subtract a_{2} from both sides. Anything subtracted from zero gives its negation.

$$-2a=-a_{2}$$

Divide both sides by -2.

$$\frac{-2a}{-2}=-\frac{a_{2}}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$a=-\frac{a_{2}}{-2}$$

Divide -a_{2} by -2.

$$a=\frac{a_{2}}{2}$$

Solve for a_2

$$a_{2}=2a$$

Solution Steps

Subtract a from both sides.

$$a_{2}=3a-a$$

Combine 3a and -a to get 2a.

$$a_{2}=2a$$