Solve 1/9+1/x=4/9

$$\frac{ 1 }{ 9 } + \frac{ 1 }{ x } = \frac{ 4 }{ 9 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 9x, the least common multiple of 9,x.

$$9x\times \frac{1}{9}+9=4x$$

Cancel out 9 and 9.

$$x+9=4x$$

Subtract 4x from both sides.

$$x+9-4x=0$$

Combine x and -4x to get -3x.

$$-3x+9=0$$

Subtract 9 from both sides. Anything subtracted from zero gives its negation.

$$-3x=-9$$

Divide both sides by -3.

$$x=\frac{-9}{-3}$$

Divide -9 by -3 to get 3.

$$x=3$$