Question

Paula used these steps to solve an equation:

Answer 1

Answer:

step 4

Step-by-step explanation:

-6x=57

-6x÷-6=57÷-6

x=-9.5

Answer 2

Answer:

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