Page 41 - Math Course 1 (Book 2)

Linear Equations: Addition and Subtraction

Solve by Subtracting
MO. 8 - L2b

Example Adding or Subtracting

Linear Equations
Solve c + 102 = 36. Then check your solution.

c + 102 = 36 Original equation

Subtract 102 from Let’s Begin
c + 102 – 102 = 36 – 102
each side
c = –66 102 – 102 = 0
Answer
and 36 – 102 = –66
Solve by Adding or Subtracting
To check that –66 is the solution, substitute –66 for
c in the original equation.
Examples

4 2
Your Turn! Solve y + 5 = 3

Method 1 Use the Subtraction Property of Equality.
Solve by Adding

A. Solve a – 24 = 16. Then check your solution. Original equation

A. 40
4
B. –8 Subtract from each
C. 8 side. 5
D. –40

Answer 2 4 4
y = – 15 5 – 5 = 0 and
Answer
B. Solve t + 22 = –39. Then check your solution.

A. –17
B. –39 Method 2 Use the Addition Property of Equality.
C. –61
D. –22
Original equation
Answer

4
Add – to each
5
side
Solve by Subtracting

Solve 129 + k = –42. Then check your solution. and

A. 87 Answer
B. –171
C. 171
D. –87

Answer

33