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xokatexo

  • 3 years ago

One number is 4 more than three times a smaller number. If twice the larger number is decreaased by three times the smaller number, the result is 32. Find the number. I know the answer but i need help solving it because i have a test tomorrow thanks!

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  1. inkyvoyd
    • 3 years ago
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    Okay. One number is 4 more than 3 times a smaller number. Sounds like we have two numbers. So let's set x=larger number y=smaller number.

  2. xokatexo
    • 3 years ago
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    i did x= the smaller 2x+4= the larger

  3. inkyvoyd
    • 3 years ago
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    Okay. Then x is the smaller, and 2x+4 is the larger.

  4. inkyvoyd
    • 3 years ago
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    Are you learning systems of equations? or just one variable?

  5. xokatexo
    • 3 years ago
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    we learned system of equations last year

  6. inkyvoyd
    • 3 years ago
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    Okay. I'll straight up tell you that while it might be possible to solve this with just x as a variable, it will be much less confusing to do with x and y.

  7. xokatexo
    • 3 years ago
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    okay so ill use x and y thankss

  8. inkyvoyd
    • 3 years ago
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    Alright. Now really the only reason I set x as the larger number is because it turned up first. y as the smaller number cause it turned up second.

  9. inkyvoyd
    • 3 years ago
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    We are looking for two equations that relate x and y. can you figure out the first?

  10. xokatexo
    • 3 years ago
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    3x+4?

  11. inkyvoyd
    • 3 years ago
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    mm. Close, but remember that x is the larger number. You should be getting 3y+4=x

  12. xokatexo
    • 3 years ago
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    wait no 2(3x+4)-3x=32

  13. xokatexo
    • 3 years ago
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    ohh wait what?

  14. inkyvoyd
    • 3 years ago
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    One number is 4 more than three times a smaller number.

  15. inkyvoyd
    • 3 years ago
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    We have a number x that is 4 more than 3 times a smaller number.

  16. xokatexo
    • 3 years ago
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    ok i got that but then whats the second?

  17. inkyvoyd
    • 3 years ago
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    and the smaller number is y. so we have x is 4 more than 3 times y. or, x=4+3y in other words 3y+4=x

  18. inkyvoyd
    • 3 years ago
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    If twice the larger number is decreaased by three times the smaller number, the result is 32.

  19. inkyvoyd
    • 3 years ago
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    Replace the larger number and smaller number to what we have set them to, x and y ;) Tell me what you get...

  20. xokatexo
    • 3 years ago
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    2x-3y=32

  21. inkyvoyd
    • 3 years ago
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    Yes. Good! Now we set up the system. 3y+4=x 2x-3y=32

  22. xokatexo
    • 3 years ago
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    substitution

  23. inkyvoyd
    • 3 years ago
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    yup.

  24. xokatexo
    • 3 years ago
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    i got 10.6 repeting

  25. inkyvoyd
    • 3 years ago
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    Can you show your work? that's not the right answer :S

  26. xokatexo
    • 3 years ago
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    @inkyvoyd 2(3y+4)-3y=32 6y+8-3y=32 3y+8=32 -8 -8 -------------- 3y=32 --- --- 3 3 y=10.66666666666666666666666666

  27. inkyvoyd
    • 3 years ago
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    3y+8=32 catch: 3y+8=24

  28. inkyvoyd
    • 3 years ago
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    y=3

  29. xokatexo
    • 3 years ago
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    so x is 13:)

  30. inkyvoyd
    • 3 years ago
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    No, check again :)

  31. xokatexo
    • 3 years ago
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    3(3)+4=x 13=x

  32. xokatexo
    • 3 years ago
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    oh i get itt

  33. xokatexo
    • 3 years ago
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    thankss sooo muchh

  34. inkyvoyd
    • 3 years ago
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    yeah sorry, I made a mistake to. y=8 lol

  35. inkyvoyd
    • 3 years ago
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    http://www.wolframalpha.com/input/?i=3y%2B4%3Dx+and+2x-3y%3D32

  36. xokatexo
    • 3 years ago
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    TANK YOU

  37. inkyvoyd
    • 3 years ago
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    No problem :)

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