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ki77a [65]
3 years ago
11

If 52/x is a positive integer, how many integer values are possible for x?

Mathematics
1 answer:
vekshin13 years ago
4 0
Since there are 6 factors of 52 (1, 2, 4, 13, 26, 52), the answer is 6
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Step-by-step explanation:

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ANSWER:

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STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.

Equation No. 1 -

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Equation No. 2 -

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First, we will make ( x ) the subject in the first equation and simplify accordingly.

Equation No. 1 -

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- 6x = - 20 + 14y

x = ( - 20 + 14y ) / - 6

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From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.

Equation No. 2 -

- 3x - 7y = - 10

- 7y = - 10 + 3x

- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]

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- 7y = - 10 + ( 10 - 7y )

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0y = 0

y = 0

Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.

x = ( - 10 + 7y ) / - 3

x = [ - 10 + 7 ( 0 ) ] / - 3

x = [ - 10 + 0 ] / - 3

x = - 10 / - 3

x = 10 / 3
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Step-by-step explanation:

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Step-by-step explanation:

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