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Express y as a function of x.

I keep getting hairy answers and I'm not sure I'm doing this correctly​

Express y as a function of x. I keep getting hairy answers and I'm not sure I'm doing-example-1

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Answer:


y = 7x - (2)/(6)

Explanation:

In y = (1)/(2) (3x+4) - (1)/(3) (x+7)

y = 7x-2/6 (Solving for y)

x = 6y/7 + 2/7

User Cobbles
by
7.4k points
6 votes

Answer:

  • 4 ln y = 1/2 ln (3x + 4) - 1/3 ln (x + 7) + ln C
  • 4 ln y = ln [C*(3x + 4)
    ^(1/2)/(x + 7)
    ^(1/3)]
  • ln y = 1/4 ln [C*(3x + 4)
    ^(1/2) / (x + 7)
    ^(1/3)]
  • ln y = ln [C
    ^(1/4)(3x + 4)
    ^(1/8) / (x + 7)
    ^(1/12)]
  • y = C
    ^(1/4)(3x + 4)
    ^(1/8) / (x + 7)
    ^(1/12)

or

  • y =
    \sqrt[24]{C^6(3x + 4)^3/(x + 7)^2}
User Ebrown
by
7.6k points

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