Page 46 - Math Course 1 (Book 2)

Linear Equations: Multiplication and Division

MO. 8 - L3b B. Solve –8x = 96. Check your solution.

Solving Equations: –8x = 96 Original equation.

Division –8x = 96 Divide each side by –8.
–8 –8

Key Concept w = –12 –8x =x and
–8
Answer
96
Division Property of Equality –8 = –12

Words If an equation is true and each side is
divided by the same non-zero number,
the resulting equation is true. Write and Solve an Equation Using Division

Symbols For any numbers a, b, and c with Example
c ≠0, if a a = b, then a = b
c c
Write an equation for the problem below. Then
Examples 15 = 15 28 = 28 solve the equation.
15 15 28 28
= =
3 3 –7 –7 Negative fourteen times a number equals 224.
5 = 5 –4 = –4 Negative fourteen times a number equals 224.

–14 × n = 224

–14n = 224 Original equation.
–14n 224
Let’s Begin –14 = –14 Divide each side by –14.

Answer n = –16 Check this result.
Solving Using Division

Examples
Your Turn!

A. Solve 11w = 143. Check your solution.
Solving Using Division

11w = 143 Original equation. A. Solve 35t = 595. Check your solution.
11w 143
= Divide each side by 11. A. 550
11 11
B. 17
C. 560
11w 143 D. 20
Answer w = 13 =w and = 13
11 11

To check, substitute 13 for w. Answer

38