Solve 1/3+2/w-3=1

$$\frac { 1 } { 3 } + \frac { 2 } { w - 3 } = 1$$

Solve for w

$$w=6$$

Steps for Solving Linear Equation

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

$$3\left(w-3\right)\times \frac{1}{3}+3\times 2=3\left(w-3\right)$$

Use the distributive property to multiply 3 by w-3.

$$\left(3w-9\right)\times \frac{1}{3}+3\times 2=3\left(w-3\right)$$

Use the distributive property to multiply 3w-9 by \frac{1}{3}.

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

Multiply 3 and 2 to get 6.

$$w-3+6=3\left(w-3\right)$$

Add -3 and 6 to get 3.

$$w+3=3\left(w-3\right)$$

Use the distributive property to multiply 3 by w-3.

$$w+3=3w-9$$

Subtract 3w from both sides.

$$w+3-3w=-9$$

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

$$-2w+3=-9$$

Subtract 3 from both sides.

$$-2w=-9-3$$

Subtract 3 from -9 to get -12.

$$-2w=-12$$

Divide both sides by -2.

$$w=\frac{-12}{-2}$$

Divide -12 by -2 to get 6.

$$w=6$$