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30 May, 11:25

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9. Which equations represent the situation? x + y = 3 and x minus 3 y = negative 27 x + y = 3 and x minus 3 y = negative 9 x minus y = 3 and x minus 3 y = negative 27 x minus y = 3 and x minus 3 y = negative 9

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Answers (2)
  1. 30 May, 11:39
    0
    The two equations are

    y = x - 3 and

    3y = x + 9

    Step-by-step explanation:

    The options are not well stated. I'll answer the question without the options but however, my answer will be a reflection of one of the given options.

    Given:

    2 statements

    Required

    Write equivalent of both statements as equations

    Let the large number be represented by x.

    From the first statement (y, is equal to the difference of a larger number and 3)

    Difference means minus (-); so, this statement is represented as follows to give us the first equation:

    y = x - 3

    From the second statement (The same number is one-third of the sum of the larger number and 9).

    This is also represented as follows to give us the second equation

    y = ⅓ (x + 9)

    Multiply both sides by 3

    3 * y = 3 * ⅓ (x + 9)

    3y = x + 9

    So, the two equations are

    y = x - 3 and

    3y = x + 9
  2. 30 May, 11:50
    0
    The two equations are

    y = x - 3 and

    3y = x + 9
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