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alyannahere

  • 3 years ago

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

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  1. rshextall
    • 3 years ago
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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

  2. Monkeyball
    • 3 years ago
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    Do you know matrices?

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

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

  5. alyannahere
    • 3 years ago
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    @rshextall yes please! :)

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

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

  8. rshextall
    • 3 years ago
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    Do you see what happened there?

  9. alyannahere
    • 3 years ago
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    yup !

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

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

  12. rshextall
    • 3 years ago
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    Right!!!

  13. rshextall
    • 3 years ago
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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

  14. alyannahere
    • 3 years ago
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    then?

  15. rshextall
    • 3 years ago
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    Then solve for either y or z

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

  17. rshextall
    • 3 years ago
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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

  18. rshextall
    • 3 years ago
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    Did you get it?

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

  20. alyannahere
    • 3 years ago
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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.

  21. rshextall
    • 3 years ago
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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

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