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 1:
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 .
Example 2:
Solve.
The inverse operation of division is multiplication. So, multiply both sides by .
Simplify.
Example 3:
Solve.
To isolate the variable (to get a coefficient of ), multiply both sides by which is the reciprocal of .
Simplify.