-65 times the difference between a number and 79 is equal to the number plus 98

Discussion in 'Calculator Requests' started by math_celebrity, Jan 21, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    -65 times the difference between a number and 79 is equal to the number plus 98

    The phrase a number means an arbitrary variable. Let's call it x.

    The first expression, the difference between a number and 79 means we subtract 79 from our arbitrary variable of x:
    x - 79

    Next, -65 times the difference between a number and 79 means we multiply our result above by -65:
    -65(x - 79)

    The phrase the number refers to the arbitrary variable x earlier. The number plus 98 means we add 98 to x:
    x + 98

    Now, let's bring it all together. The phrase is equal to means an equation. So we set -65(x - 79) equal to x + 98:
    -65(x - 79) = x + 98
    <-- This is our algebraic expression

    If the problem asks you to take it a step further and solve for x, then you type this equation into our search engine, and you get:
    x = 76.31818
     

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