Solve 2/a=1/2+3/a

$$\frac { 2 } { a } = \frac { 1 } { 2 } + \frac { 3 } { a }$$

Solve for a

$$a=-2$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2a, the least common multiple of a,2.

$$2\times 2=2a\times \frac{1}{2}+2\times 3$$

Multiply 2 and 2 to get 4.

$$4=2a\times \frac{1}{2}+2\times 3$$

Cancel out 2 and 2.

$$4=a+2\times 3$$

Multiply 2 and 3 to get 6.

$$4=a+6$$

Swap sides so that all variable terms are on the left hand side.

$$a+6=4$$

Subtract 6 from both sides.

$$a=4-6$$

Subtract 6 from 4 to get -2.

$$a=-2$$