Mathematics: Paula used these steps to solve an equation: step 1: -4(7 + 8) - 21 = 25 step 2: -4r – 32 - 2x = 25 step 3: -61 – 32 = 25 step 4: -6x = 57 step 5: x = -95 between which two steps did paula use the division property of equality?

Paula used these steps to solve an equation: step - id3885425, Davynsurfsoccergirl

coolkiddKC

10.01.2022

Between step 4 and step 5

Step-by-step explanation:

The Division Property of Equality states that when both sides of an equation are divided by the same nonzero number, both sides remain equal.

That is, if a, b, and c are real numbers such that a = b and c ≠0, then

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

At step 4: The equation was -6x = 57

To move to step 5, Paula had to divide both sides by the co-efficient of x (-6) in order to get the value of x. See below

-6x = 57 ---- Divide both sides by -6 (Step 4)

$\frac{-6x}{-6} = \frac{57}{-6}$ ---- (Intermediary between step 4 and 5)

x = -9.5 ----- Step 5

Hence, we can conclude that the division property of equality was done between step 4 and step 5

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