julialuyken
Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Solve the system of equations.

3x+3y+6z=3
3x+2y+6z=7
4x+4y+7z=4

Sagot :

kate200468
[tex](1)\ 3x+3y+6z=3\\ (2) \ 3x+2y+6z=7\\(3)\ 4x+4y+7z=4\\\\(1)\ -\ (2)\\\Rightarrow\ \ \ 3x+3y+6z-(3x+2y+6z)=3-7\\\\3x+3y+6z-3x-2y-6z=-4\\y=-4\\\\4\cdot (1)\ -3\cdot(3)\\\Rightarrow\ \ \ 4\cdot(3x+3y+6z)-3\cdot(4x+4y+7z)=4\cdot3-3\cdot4\\\\12x+12y+24z-12x-12y-21z=12-12\\3z=0\ /:3\\z=0\\\\[/tex]

[tex](1)\ 3x+3y+6z=3\ /:3\\\\ x+y+2z=1\\\\y=-4\ \ \ and\ \ \ z=0\\ \Rightarrow\ \ \ x-4+2\cdot0=1\ \ \ \Rightarrow\ \ \ x=1+4\ \ \ \Rightarrow\ \ \ x=5\\\\Ans.\ x=5,\ y=-4,\ z=0[/tex]

Answer:

A

Step-by-step explanation:

EDGE

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.