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Hoochie [10]
3 years ago
12

Seven times the difference of some number and 1 gives the quotient of 70 and 10, find the number

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0
7(x-1)=70/10
7x-7=7
7x=14
x = 2

The number is 2.
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We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:

2(5y – 2) = 12 + 6y

In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:

a(b + c) = ab + ac
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In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:

2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4

In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.

The student first made an error in Step 2, and the correct step is:

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Domain is the set of x-values for which the function is defined.

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