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Y varies inversely with x and when x = 7, y = 15. Find x when y = 21

x=​

User Saber CN
by
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1 Answer

5 votes

Answer:

x = 5

Explanation:

Use the inverse variation equation, y = k/x

Plug in 7 as x and 15 as y, then solve for k:

y = k/x

15 = k/7

105 = k

So, the equation is y = 105/x

Find x when y = 21 by plugging in 21 as y:

y = 105/x

21 = 105/x

21x = 105

x = 5

So, when y = 21, x = 5

User Lucecpkn
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3.9k points