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Do the equations x = 5y + 3 and x = 5y – 3 have the same solution? How might you explain your answer to someone who has not learned algebra? 200 words or better

  • math -

    Eq1: X = 5y + 3.
    Eq2: X = 5y - 3.
    Substitute 2 for Y in each Eq and solve
    for X:

    Eq1: X = 5*2 + 3 = 10 + 3 = 13.

    Eq2: X = 5*2 - 3 = 10 - 3 = 7.

    The value of the 1st term in each Eq is 10. In Eq1, we add 3 to 10. But in Eq2,
    we subtract 3 from 10. Therefore, the
    solutions cannot be the same.

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