bobxspam
17.07.2019 •
Mathematics
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
Solved
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Ответ:
The correct answer is C. 2.
Step-by-step 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!
Ответ:
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Step-by-step explanation:
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