Solve 3.6=frac{6*r_{2}}{6+r_{2}}

$$3.6 = \frac { 6 \times r _ { 2 } } { 6 + r _ { 2 } }$$

Solve for r_2

$$r_{2}=9$$

Steps for Solving Linear Equation

Variable r_{2} cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by r_{2}+6.

$$3.6\left(r_{2}+6\right)=6r_{2}$$

Use the distributive property to multiply 3.6 by r_{2}+6.

$$3.6r_{2}+21.6=6r_{2}$$

Subtract 6r_{2} from both sides.

$$3.6r_{2}+21.6-6r_{2}=0$$

Combine 3.6r_{2} and -6r_{2} to get -2.4r_{2}.

$$-2.4r_{2}+21.6=0$$

Subtract 21.6 from both sides. Anything subtracted from zero gives its negation.

$$-2.4r_{2}=-21.6$$

Divide both sides by -2.4.

$$r_{2}=\frac{-21.6}{-2.4}$$

Expand \frac{-21.6}{-2.4} by multiplying both numerator and the denominator by 10.

$$r_{2}=\frac{-216}{-24}$$

Divide -216 by -24 to get 9.

$$r_{2}=9$$