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39 votes
If y varies inversely with x and y=2 when x=5, what is the value of x when y=3?

User Katzenhut
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1 Answer

20 votes
20 votes

Answer:

Explanation:

Method

Inversely in this sentence means

y = k/x

So you first step is to find the value of k. You do that by setting up an inverse relationship with y = 2 , x = 5

2 = k/5 Multiply both sides by 5

2*5 = 5*k/5

10 = k

Now you are able to answer the question.

  • k = 10
  • y = 3
  • x = ?

y = 10/x

3= 10/x Multiply both sides by x

3*x = x * 10/x

3x = 10 Divide both sides by 3

3x/3 = 10/3

x = 3.33 or x = 3 1/3

Answer

x = 3.33 or x = 3 1/3

User Nikolasleblanc
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