zynawriter23
zynawriter23 zynawriter23
  • 08-11-2018
  • Mathematics
contestada

If y varies directly as x and y = 21 when x = 5, find x when y = 42.

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tramserran
tramserran tramserran
  • 08-11-2018

Answer: 10

Step-by-step explanation:

varies directly means: [tex]\frac{y}{x} = k[/tex]

Step 1: solve for k   ⇒  [tex]\frac{21}{5} = k[/tex]

Step 2: plug in the given value and k to solve for the missing value: [tex]\frac{42}{x} = \frac{21}{5}[/tex]

42(5) = 21(x)

[tex]\frac{42(5)}{21} = \frac{21(x)}{21}[/tex]

2(5) = x

10  = x


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