Solve {1/2=1/x+1/j

$$\{ \frac { 1 } { 2 } = \frac { 1 } { x } + \frac { 1 } { j }$$

Solve for x

$$x=-\frac{2j}{2-j}$$

$$j\neq 0\text{ and }j\neq 2$$

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 2jx, the least common multiple of 2,x,j.

$$jx=2j+2x$$

Subtract 2x from both sides.

$$jx-2x=2j$$

Combine all terms containing x.

$$\left(j-2\right)x=2j$$

Divide both sides by j-2.

$$\frac{\left(j-2\right)x}{j-2}=\frac{2j}{j-2}$$

Dividing by j-2 undoes the multiplication by j-2.

$$x=\frac{2j}{j-2}$$

Variable x cannot be equal to 0.

$$x=\frac{2j}{j-2}\text{, }x\neq 0$$