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anonymous

  • one year ago

How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations?

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  1. anonymous
    • one year ago
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    If you say that each equation is equal to some y-value, then you can get a system. I assume you mean 1/5x to be \(\frac{1}{5}x\) and 1/3x to be \(\frac{1}{3}x\), correct?

  2. anonymous
    • one year ago
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    yes youre correct

  3. anonymous
    • one year ago
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    Alright, then let's just say each side of the equality is equal to y. Then we can have this: \(y = \frac{1}{5}x -2\) \(y=\frac{1}{3}x + 8\)

  4. anonymous
    • one year ago
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    okay sounds good

  5. anonymous
    • one year ago
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    can you show me whats next

  6. anonymous
    • one year ago
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    Well, that's just the set up in order to turn it into a system of equations. Did you need to solve it as well?

  7. anonymous
    • one year ago
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    well let me show you the answer choices

  8. anonymous
    • one year ago
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    5y-5x=-10 3y-3x=24 5y-5x=-10 3y+3x=24 5y+x=-10 3y+x=24 5y-x=-10 3y-x=24

  9. anonymous
    • one year ago
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    Oh, okay, so then we have to turn it into some sort of general form. Well, if we start with \(y = \frac{1}{5}x-2\), we first want to get rid of the fraction. Do you know how to eliminate fractions in these equations?

  10. anonymous
    • one year ago
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    i knnow you would have to multiply

  11. anonymous
    • one year ago
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    Yeah. You would multiply by an LCD of any fractions in the equation. Of course the only denominator we have is a 5, so we just multiply everything by 5. Are you comfortable doing that?

  12. anonymous
    • one year ago
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    can you please do it for me. i already tried

  13. anonymous
    • one year ago
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    Well, you see why multiplying everything by 5 is what we need to do, yes?

  14. anonymous
    • one year ago
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    yes i do see that

  15. anonymous
    • one year ago
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    So if I do this: \(5*y = 5*\frac{1}{5}x - 5*2\) I get \(5y = x - 10\) That okay on your end?

  16. anonymous
    • one year ago
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    ok.... so which one of my answer choices would that be?

  17. anonymous
    • one year ago
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    Well, all of your answer choices have the 5y part as being positive and the number by itself. So that means I want to subtract x from both sides. \(5y = x - 10\) \(-x -x\) \(5y - x = -10\)

  18. anonymous
    • one year ago
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    okay thank you so much

  19. anonymous
    • one year ago
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    You're welcome

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