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anonymous

  • one year ago

This is the only question on the entire quiz I don't get. Will fan + medal, please help!!! A student is trying to solve the system of two equations given below: Equation P: x + y = 8 Equation Q: 2x + 5y = 24 Which of the following steps can be used to eliminate the x term? 2(x + y = 8) −2(x + y = 8) −1(2x + 5y = 24) −2(2x + 5y = 24)

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  1. amistre64
    • one year ago
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    what does it mean to eliminate something?

  2. anonymous
    • one year ago
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    @amistre64 To get rid of?

  3. amistre64
    • one year ago
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    yeah, or in math terms .. make it go to zero

  4. amistre64
    • one year ago
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    so, what are our x terms in this case?

  5. anonymous
    • one year ago
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    @amistre64 2x and x?

  6. amistre64
    • one year ago
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    youre doing fine, yes now, what would you propose we do to eliminate them? what would we multiply one by such that when we add them together we get zero?

  7. anonymous
    • one year ago
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    I wanna say 8 because if we're multiplying 1, 1 x 8 is 8. But at the same time I feel like that's wrong?

  8. amistre64
    • one year ago
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    hmm, 8 isnt in our options so your feeling is spot on ... let "n" be some number such that: 2x + nx = 0, fpr all values of x (2+n)x = 0 any more ideas?

  9. anonymous
    • one year ago
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    Oh! I was looking at the first equation. Would it be 5 then?

  10. anonymous
    • one year ago
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    Or 2? Since we're trying to get rid of the x...(I'm sorry I know I'm really slow in math)

  11. amistre64
    • one year ago
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    2 is closer :) lets try it out (2+2)x = 0 4x = 0, this is not true for all x when is 2+n = 0 ?

  12. anonymous
    • one year ago
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    2+n = 0 when n = -2, right?

  13. amistre64
    • one year ago
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    that better, yes so what this tells us is that we want to multiply by a -2 the last thing to determine is which equation should we multiply by -2?

  14. anonymous
    • one year ago
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    Equation Q because if we solve that one first we can just replace the x and y variables in question P?

  15. amistre64
    • one year ago
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    well, equation Q already has 2x in it ... so we really want to leave it as is. this leaves us with equation P. -2(x+...) = -2x + ... now when we combine (add) -2P and Q we get -2x + ... 2x + ... --------- 0x + ... and our x term has been eliminated.

  16. amistre64
    • one year ago
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    so, which option should we pick now?

  17. anonymous
    • one year ago
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    B?

  18. amistre64
    • one year ago
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    hmm, your post does not letter them, but i would agree with the second option yes

  19. anonymous
    • one year ago
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    Oh, sorry! Also do you mind if I save this? Like your responses? You helped me a lot

  20. amistre64
    • one year ago
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    save what you want :)

  21. anonymous
    • one year ago
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    Thank you for helping me!!!

  22. amistre64
    • one year ago
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    youre welcome, and good luck :)

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