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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?

Respuesta :

Answer:

step 4

Step-by-step explanation:

-6x=57

-6x÷-6=57÷-6

x=-9.5

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  

[tex]\frac{a}{c} = \frac{b}{c}[/tex]

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

[tex]-6x = 57[/tex] ---- Divide both sides by -6 (Step 4)

[tex]\frac{-6x}{-6} = \frac{57}{-6}[/tex] ---- (Intermediary between step 4 and 5)

[tex]x = -9.5[/tex] ----- Step 5

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