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Consider the equation and its solution.

-15(x-[])=25
-15x+30=25
-15x=-5
x=1/3

What number should be in the empty box?
A. -30
B. -2
C. 2
D. 30

User Yanesa
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2 Answers

2 votes

Answer:



Thank Me later lol

User Eddysanoli
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Answer:

The correct answer is C. 2.

Explanation:

To solve this problem, we should begin with the second step and work backwards in order to find the unknown value. If given the equation -15x + 30 = 25, we should factor out a -15 to simplify. This method is shown below.

-15x + 30 = 25

-15(x-2) = 25

We know this is correct because if we redistribute the -15 through the parentheses using the distributive property, we would get our original equation again. In other words, this answer is confirmed by the fact that -15 * -2 equals positive 30.

However, we need to look closely at the question that is asked. The box that we must fill in is already preceded by a negative sign, thus the correct answer is C. 2.

We can check our work by replacing the box with the number 2, getting -15(x-2) + 30 = 25, which was the equation we got earlier.

Hope this helps!

User Alex Sveshnikov
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