# 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**