Solving One-Step Linear Equations with Decimals
A linear equation is an algebraic equation in which the variable(s) are multiplied by numbers or added to numbers, with nothing more complicated than that.
A solution to an equation is a number that can be plugged in for the variable to make a true number statement.
Some linear equations can be solved with a single operation. For this type of equation, use the inverse operation to solve. Inverse operations "undo" each other. The easiest type involves only an addition or a subtraction.
The inverse operation of addition is subtraction. So, subtract from both sides.
We can also solve linear equations when 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 .
The inverse operation of multiplication is division. So, divide both sides by .
To isolate the variable (to get a coefficient of ), multiply both sides by .