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

Property of equality division

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

`(c)/(b) = (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)

`(8)/(2) = (8)/(2)`

`4 = 4`