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aivan3 [116]
3 years ago
12

Determine if the expressions are equivalent: 7+ 7x; 7 x + 1/7

Mathematics
1 answer:
patriot [66]3 years ago
5 0

<u>The given  expressions  7+ 7x ; 7 x + 1/7 are not equivalent or equal </u>

<u>to each other </u>

<u />

<u>Step-by-step explanation:</u>

Let us firstly assume that  7 + 7x is equivalent ( to 7(x + 1/7) so that means

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   thus their occurs a  false statement:

7 = 1 ( we know, 7 >1)

Thus we can say that

<u>7 + 7x is NOT equivalent  to 7(x + 1/7)</u>

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Answer

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If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

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