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anonymous

  • one year ago

the sum of two numbers is 63 and the difference is 9 what are the numbers

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  1. anonymous
    • one year ago
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    @Hero @perl can one of you help me please I am so confused with this problem

  2. Hero
    • one year ago
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    x + y = 63 x - y = 9

  3. Hero
    • one year ago
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    Solve the system

  4. anonymous
    • one year ago
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    how?

  5. anonymous
    • one year ago
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    i need the larger number and the smaller number

  6. anonymous
    • one year ago
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    @Hero

  7. Hero
    • one year ago
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    Start by adding the equations together.

  8. anonymous
    • one year ago
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    how do i add them together?

  9. Hero
    • one year ago
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    By doing this: (x + x) + (y - y) = 63 + 9

  10. anonymous
    • one year ago
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    oh ok so what is the next step?

  11. Hero
    • one year ago
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    Combine like terms.

  12. anonymous
    • one year ago
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    x^2 +y^2 = 72?

  13. Hero
    • one year ago
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    x + x = 2x y - y = 0

  14. Hero
    • one year ago
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    @RaeBeach9296 are you still here?

  15. anonymous
    • one year ago
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    yes

  16. anonymous
    • one year ago
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    so what about the 72?

  17. Hero
    • one year ago
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    You added that correctly.

  18. Hero
    • one year ago
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    So what equation are we left with?

  19. anonymous
    • one year ago
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    x+x=2x y+y=0?

  20. Hero
    • one year ago
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    Let's do this a different way: |dw:1433367314785:dw|

  21. anonymous
    • one year ago
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    ok i understand that whats next?

  22. Hero
    • one year ago
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    Solve 2x = 72 for x

  23. anonymous
    • one year ago
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    so divide both sides by 2?

  24. Hero
    • one year ago
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    Correct.

  25. anonymous
    • one year ago
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    36?

  26. Hero
    • one year ago
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    Yes. What do you think is the value of y?

  27. anonymous
    • one year ago
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    0?

  28. Hero
    • one year ago
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    If x - y = 9 and x = 36, then how might we find the value of y?

  29. anonymous
    • one year ago
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    add y to both sides?

  30. Hero
    • one year ago
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    Show me the steps you would do to find y.

  31. anonymous
    • one year ago
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    x-y=9 +y +y

  32. anonymous
    • one year ago
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    x=9+y?

  33. anonymous
    • one year ago
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    @Hero are you there?

  34. Hero
    • one year ago
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    What comes to your mind when you see x = 36?

  35. anonymous
    • one year ago
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    x=36y?

  36. Hero
    • one year ago
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    This is your second time introducing multiplication to a problem that only involves addition and subtraction.

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