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25 September, 11:52

Their sum is - 7 and their difference is 14 what are my numbers

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  1. 25 September, 11:58
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    Answer: 3 1/2 and - 10 1/2 are the two numbers.

    Step-by-step explanation:

    Let x and y be the two unknown numbers.

    x+y=-7 [Given]

    x-y=14 [Given]

    x-y=14 [Given]

    x=y+14 [Add y to both sides]

    x+y=-7 [Given]

    (y+14) + y=-7 [Subtitution]

    2y+14=-7 [Combine like terms]

    2y=-21 [Subtract 14 from both sides]

    y=-21/2 [Divide both sides by 2]

    y=-10 1/2 [Division]

    x-y=14 [Given]

    x=y+14 [Add y to both sides]

    x=-10 1/2 + 14 [Substitution]

    x = 3 1/2 [Addition]

    Check:

    x+y=-7 [Given]

    3 1/2 + - 10 1/2?=-7 [Substition]

    -7=-7 [Addition]

    QED

    x-y=14 [Given]

    3 1/2 - - 10 1/2?=14 [Substitution]

    3 1/2 + 10 1/2?=14 [Change the sign of the subtrahend and add]

    14=14 [Addition]

    QED

    Answer: 3 1/2 and - 10 1/2 are the two numbers.
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