Question

If c = d and b ≠ 0, then c∕b = d∕b represents the property of equality. Question 4 options: A) division B) multiplication C) addition D) subtraction

Answer 1

Answer:

Property of equality division

Step-by-step explanation:

Given

c = d

b ≠ 0 then c∕b = d∕b

Required

State the property used

From list of options a through d, only option A best fits the description.

This is so because property of equality division is such that

given two variables c and d where c = d

$\frac{c}{b} = \frac{d}{b}$

Provided that b ≠ 0

Take for instance;

b = 2; c = 8 and d = 8;

This implies that

$c = d$

$8 = 8$

Divide both sides by 2 (assumed value of b)

$\frac{8}{2} = \frac{8}{2}$

$4 = 4$