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24 September, 21:57

What 2 numbers can be multiplied to get - 4 but when added equals 3?

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  1. 24 September, 22:26
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    4 and - 1

    Step-by-step explanation:

    Solving for two variables can be done by setting up a system of equations. In this case you have two numbers 'x' and 'y' when multiplied is - 4:

    x*y = - 4

    When the same two number are added together it's 3:

    x + y = 3

    Using the second equation to solve for 'x', you can then use that expression to substitute for 'x' in the first equation:

    x = 3 - y

    y (3 - y) = - 4 or 3y - y² = - 4 or y² - 3y = - 4

    Factor: (y - 4) (y + 1)

    Solve for y: y = 4 or - 1

    If y = 4, then x = - 1 or when y = - 1, x = 4, so the two numbers are 4 and - 1:

    (4) (-1) = 4 and 4 + - 1 = 3
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