Question 2? Is it separation constant method or separation variable method? If we use the method of separating variables, we can get y=x/(5x-3) from the first formula, bring it into the second formula, 3x+4y=3x+4x/(5x-3), and take the derivative to get the derivative of 3- 12/(5x-3) 2, and x= 1.
In addition, the simplest method of this problem should be to use Cauchy inequality.