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WITCHER [35]
3 years ago
6

If y varies directly as x and inversely as z and y = 4 when x = 2 and z = 7, find y when x =

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

y = 28

Step-by-step explanation:

Given that y varies directly as x and inversely as z then the equation relating them is

y = \frac{kx}{z} ← k is the constant of variation

To find k use the condition y = 4 when x = 2 and z = 7, then

4 = \frac{2k}{7} ( multiply both sides by 7 )

28 = 2k ( divide both sides by 2 )

14 = k

y = \frac{14x}{z} ← equation of variation

When x = 6 and z = 3 , then

y = \frac{14(6)}{3} = 14 × 2 = 28

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