Solve a+ar=8/3

$$a + a r = \frac { 8 } { 3 }$$

Solve for a

$$a=\frac{8}{3\left(r+1\right)}$$

$$r\neq -1$$

Steps for Solving Linear Equation

Combine all terms containing a.

$$\left(1+r\right)a=\frac{8}{3}$$

The equation is in standard form.

$$\left(r+1\right)a=\frac{8}{3}$$

Divide both sides by 1+r.

$$\frac{\left(r+1\right)a}{r+1}=\frac{\frac{8}{3}}{r+1}$$

Dividing by 1+r undoes the multiplication by 1+r.

$$a=\frac{\frac{8}{3}}{r+1}$$

Divide \frac{8}{3} by 1+r.

$$a=\frac{8}{3\left(r+1\right)}$$

Solve for r

$$r=-1+\frac{8}{3a}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Subtract a from both sides.

$$ar=\frac{8}{3}-a$$

Divide both sides by a.

$$\frac{ar}{a}=\frac{\frac{8}{3}-a}{a}$$

Dividing by a undoes the multiplication by a.

$$r=\frac{\frac{8}{3}-a}{a}$$

Divide \frac{8}{3}-a by a.

$$r=-1+\frac{8}{3a}$$