algebra 1

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The difference of two numbers is 5. Three times the larger, decreased by 5 times the smaller is 7. Find the numbers

  • algebra 1 -

    X = The larger n#.
    Y = The smaller #.

    Eq2: X - Y = 5.
    Eq2: 3X - 5Y = 7
    Multiply Eq1 by -3:
    -3X +3Y = -15
    3X - 5Y = 7
    Sum: -2y = -8,
    Y = 4.

    In Eq1,substitute 4 for Y:
    x - 4 = 5,
    X = 9.

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