algebra

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three times a first number decreased by a second number is 25. the first number increased by four times the second number is -22. find the numbers

  • algebra -

    3x-y=25
    x+4y=-22

    3x-y=25
    -3x-12y=66

    -13y=91

    y=-7

    x+4(-7)=-22

    x=6

  • algebra -

    first number -- x
    second number ---y

    translation:
    " three times a first number decreased by a second number is 25" ---> 3x - y = 25
    " the first number increased by four times the second number is -22" ---> x + 4y = -22

    form 2nd equation: x = -4y - 22
    sub into 1st equation:
    3(-4y-22) - y = 25
    -12y - 66 - y = 25
    -13y = 91
    y = -7
    then x = 28-22 = 6
    First number is 6, then second is -7

    check:
    3(6) - (-7) = 25
    6 + 4(-7) = -22 , looks good

  • algebra -

    Three times a number, decreased by 28.

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