Question

Express y as a function of x.

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

Answer 1

`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

Answer 2

• 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}`