Machine-translated by Google. Questions are authored in English.
Top

Discussion

The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____

  • A.u = 1, v = 0
  • B.u = 1, v = 3/2
  • C.u = 0, v = 3/4
  • D.u = 0, v = 1

Answer: B

Correct answer: u = 1, v = 3/2

Putting \( u = 1 \) and \( v = \tfrac32 \) into the first equation gives \( 3(2 + \tfrac32) = 10.5 \) and \( 7uv = 7 \times \tfrac32 = 10.5 \); into the second, \( 3(1 + \tfrac92) = 16.5 \) and \( 11uv = 11 \times \tfrac32 = 16.5 \). Both hold, so that is the solution.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.