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Musya8 [376]
4 years ago
8

What is 7+7x;7(x + 1/7

Mathematics
1 answer:
Basile [38]4 years ago
7 0
Is 7 + 7x equivalent to 7 (x + 1/7)?

Answer

Let's assume for the moment that 7 + 7x is indeed equivalent (equal in value, amount, meaning, etc.) to 7(x + 1/7); therefore, ...

7 + 7x = 7(x + 1/7)
7 + 7x = 7x + 7(1/7)
7 + 7x = 7x + 1
7x + 7 = 7x + 1
Now, subtracting 7x from both sides, we get:
7x - 7x + 7 = 7x - 7x + 1
(7 - 7)x + 7 = (7 - 7)x + 1
(0)x + 7 = (0)x + 1 Which leads to the erroneous, false statement:
7 = 1 (As we know, 7 >1)
Therefore, ...
7 + 7x is NOT equivalent (equal in value, amount, meaning, etc.) to 7(x + 1/7)!

Also, think about this: How can 7 more than 7 times a number x be equivalent to 1 more than 7 times that same number x?, i.e., how can 7x + 7 = 7x + 1 ?! Answer: It can't!!!
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