Section 1-1: Solving One-Step Equations: Addition and Subtraction

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 for n:
n + 8 = 10

The inverse operation of addition is subtraction. So, subtract 8 from both sides. (The Subtraction Property of Equality assures us that the two sides will still be the same.)

n + 8 – 8 = 10 – 8

n = 2

Example 2:

Solve for y:
y – 11 = –15

The inverse operation of subtraction is addition. So, add 11 to both sides. (Here we're using the Addition Property of Equality.)

y – 11 + 11= –15 + 11

y = –4