MathYouLike MathYouLike
  • Toggle menubar
  • Toggle fullscreen
  • Toggle Search
  •    Sign up
  • QUESTIONS
  • TAGS
  • USERS
  • BADGES
  • UNANSWERD
  • ASK A QUESTION
  • BLOG
...

Lê Quốc Trần Anh Coordinator

19/07/2018 at 02:20
Answers
1
Follow

If x + 2y + 3z = 6, 2x + 3y + z = 8 and 3x + y + 2z = 10, what is the value of x + y + z?


Mathcounts


    List of answers
  • ...
    Mạnh Khôi 20/07/2018 at 03:50

    We have : 

    \(\left\{{}\begin{matrix}x+2y+3z=6\\2x+3y+z=8\\3x+y+2z=10\end{matrix}\right.\)

    \(\Rightarrow x+2y+3z+2x+3y+z+3x+y+2z=6+8+10\)

    \(\Rightarrow6x+6y+6z=24\)

    \(\Rightarrow6\left(x+y+z\right)=24\)

    \(\Rightarrow x+y+z=4\)

    So, the value of x + y + z equals : \(4\)

    Selected by MathYouLike

Post your answer

Please help Lê Quốc Trần Anh to solve this problem!



Weekly ranking


© HCEM 10.1.29.225
Crafted with by HCEM