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anonymous

  • one year ago

The sum of two numbers is 48. If the larger number is 6 less than twice the smaller number, find the two numbers. Write and solve a system of equations for this situation.

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  1. myininaya
    • one year ago
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    first sentence says a number plus another number is 48. You can write that as a mathematical equation.

  2. myininaya
    • one year ago
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    Can you give it ago? Just translate the first sentence as a mathematical equation.

  3. anonymous
    • one year ago
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    ok so

  4. anonymous
    • one year ago
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    x+x=48

  5. myininaya
    • one year ago
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    we do not know the numbers are the same

  6. myininaya
    • one year ago
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    so x+y=48

  7. myininaya
    • one year ago
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    now let's assume y is the larger value

  8. myininaya
    • one year ago
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    second sentence says y is 6 less than twice x

  9. myininaya
    • one year ago
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    can you write that as a mathematical equation

  10. anonymous
    • one year ago
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    -12+x=48

  11. myininaya
    • one year ago
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    y is 6 less than twice x replace is with equals and n less than m means m-n and twice a number is 2 times a number

  12. anonymous
    • one year ago
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    12*4

  13. myininaya
    • one year ago
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    y is 6 less than twice x y = 6 less than twice x y = 6 less than 2x y=2x-6

  14. myininaya
    • one year ago
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    i translated each little part for you one at a time

  15. myininaya
    • one year ago
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    anyways first equation we had: x+y=48 second equation we had: y=2x-6

  16. myininaya
    • one year ago
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    insert (2x-6) for equation 1 's y

  17. myininaya
    • one year ago
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    replacing y with 2x-6 we have first equation now is x+2x-6=48 can you solve for x

  18. anonymous
    • one year ago
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    x=18

  19. myininaya
    • one year ago
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    ok can you find y

  20. myininaya
    • one year ago
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    recall y=2x-6

  21. anonymous
    • one year ago
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    im not sure no

  22. myininaya
    • one year ago
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    you remember you got x is 18?

  23. myininaya
    • one year ago
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    y=2(18)-6 I replaced x with 18 since x is 18

  24. myininaya
    • one year ago
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    2(18) means multiply 2 and 18

  25. myininaya
    • one year ago
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    2(18)-6 means after multiplying 2 and 18 take away 6 from that product

  26. myininaya
    • one year ago
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    were you able to simplify the value for y: y=2(18)-6 ?

  27. anonymous
    • one year ago
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    y=30 @myininaya

  28. anonymous
    • one year ago
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    @myininaya

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