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Math Help - Solving a worded problem - simultaneous equations

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    Exclamation Solving a worded problem - simultaneous equations

    The sum of two numbers is 7 and their product is 25. Determine the sum of their reciprocals
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by math123456 View Post
    The sum of two numbers is 7 and their product is 25. Determine the sum of their reciprocals
    Let the numbers be x and y

    you have

    x + y = 7 ............(1)
    xy = 25 ...............(2)

    this is a system of simultaneous equations. you can solve for x and y (or just one of them, if you want), then you can find the value of the desired expression

    \frac 1x + \frac 1y = \cdots
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