Solve 32/3=3/a-6

$$3 \frac { 2 } { 3 } = \frac { 3 } { a - 6 }$$

Solve for a

$$a = \frac{75}{11} = 6\frac{9}{11} \approx 6.818181818$$

Steps for Solving Linear Equation

Variable a cannot be equal to 6 since division by zero is not defined. Multiply both sides of the equation by 3\left(a-6\right), the least common multiple of 3,a-6.

$$\left(a-6\right)\left(3\times 3+2\right)=3\times 3$$

Multiply 3 and 3 to get 9.

$$\left(a-6\right)\left(9+2\right)=3\times 3$$

Add 9 and 2 to get 11.

$$\left(a-6\right)\times 11=3\times 3$$

Use the distributive property to multiply a-6 by 11.

$$11a-66=3\times 3$$

Multiply 3 and 3 to get 9.

$$11a-66=9$$

Add 66 to both sides.

$$11a=9+66$$

Add 9 and 66 to get 75.

$$11a=75$$

Divide both sides by 11.

$$a=\frac{75}{11}$$