Solving One-Step Linear Equations with Fractions

Some linear equations can be solved with a single operation. For this type of equation, use the inverse operation to solve. The easiest type involves only an addition or a subtraction.

Example :

Solve.

The inverse operation of addition is subtraction. So, subtract from both sides.

Simplify.

Also, we can solve linear equations when only multiplication or division is involved. If there's a coefficient in front of the variable, multiply by the reciprocal of that number to get a coefficient of 1.

Example 1:

Solve.

The inverse operation of division is multiplication. So, multiply both sides by 4.

Simplify.

y = 1200

 

Example 2:

Solve.

To isolate the variable x (to get a coefficient of 1), multiply both sides by which is the reciprocal of .

Simplify.