. A Variable Z Varies Jointly As X And Y And Inversely As U. If Z = 14 When X = 4, Y = 7 And U = 6, Find The Value Of Y When X = 10, U = 5, And Z = 6

. A variable z varies jointly as x and y and inversely as u. if z = 14 when x = 4, y = 7 and u = 6, find the value of y when x = 10, u = 5, and z = 6

 

✒ COMBINED VARIATION

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\large\sfnderline{Problem:}

  • A variable z varies jointly as x and y and inversely as u. if z = 14 when x = 4, y = 7 and u = 6, find the value of y when x = 10, u = 5, and z = 6

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\large\sfnderline{Answer:}

\huge\tt\purple{\:\:\:\:\:\:\:\:\:y = 1}

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\large\sfnderline{Solution:}

  • \large\tt{ z = \frac{kxy}{u}}

  • \large\tt{ 14 = \frac{4(7) k}{6} }

  • \large\tt{ 14 = \frac{28k}{6}}

  • \large\tt{ k = 3 }

______

  • \large\tt{ z = \frac{3xy}{u}}

  • \large\tt{ 6 = \frac{3(10)y}{5}}

  • \large\tt{ 6 = \frac{30y}{5}}

  • \large\tt\purple{ y = 1 }

\because The value of y is 1 when x = 10, u = 5, and z = 6

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