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alyannahere

solve the system x - 2y + z =4 -x + 4y - 3z =2 2x + y + 10z=10

  • one year ago
  • one year ago

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  1. rshextall
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    What math are you in because you can either put this in a matrix which is faster or you can write it all out by hand

    • one year ago
  2. Monkeyball
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    Do you know matrices?

    • one year ago
  3. alyannahere
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    nope. i think it has to be the traditional way

    • one year ago
  4. rshextall
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    Then you need to solve for each variable one at a time. Do you need help getting started?

    • one year ago
  5. alyannahere
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    @rshextall yes please! :)

    • one year ago
  6. rshextall
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    Then lets start with the first equation and solve for x.

    • one year ago
  7. rshextall
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    Just add 2y and subtract z from both sides of the equation \[x-2y+2y+z-z=4+2y-z\] \[x=4+2y-z\]

    • one year ago
  8. rshextall
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    Do you see what happened there?

    • one year ago
  9. alyannahere
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    yup !

    • one year ago
  10. rshextall
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    Then you need to plug it into one of the other equations and solve for either y or z

    • one year ago
  11. alyannahere
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    so plugging it into the 2nd equation mates it 2y-2z=6 ? then?

    • one year ago
  12. rshextall
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    Right!!!

    • one year ago
  13. rshextall
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    It takes a while but it's not to difficult, but its easy to make simple mistakes like forgetting a minus sign and stuff

    • one year ago
  14. alyannahere
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    then?

    • one year ago
  15. rshextall
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    Then solve for either y or z

    • one year ago
  16. rshextall
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    Then you have to both x and the other into the last equation and solve for the last variable

    • one year ago
  17. rshextall
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    You can check your answer by plugging your answers for x, y, and z into the first equations. They should work for all 3 equations

    • one year ago
  18. rshextall
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    Did you get it?

    • one year ago
  19. alyannahere
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    z=-1 y=2 x=9. yup i got it thanks!

    • one year ago
  20. alyannahere
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    @rshextall but can you show me how to do the matrix, it's in the next lesson of the book so i think i should learn it too.

    • one year ago
  21. rshextall
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    You have to learn the rules of matrices. They're a bit more in depth than we can really get into on here. If you like I can help you with your homework with it when you get it

    • one year ago
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