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19 October, 15:22

A student is trying to solve the system of two equations given below:

Equation P: x + y = 8

Equation Q: 2x + 5y = 24

Which of the following steps can be used to eliminate the x term?

A. 2 (x + y = 8)

B. - 2 (x + y = 8)

C. - 1 (2x + 5y = 24)

D. - 2 (2x + 5y = 24)

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Answers (1)
  1. 19 October, 15:27
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    A. 2 (x + y = 8)

    Once you do that with Equation P, you can do the following:

    2x + 2y = 16

    (2x + 2y) - (2x + 5y) = 16 - 24 (modified Equation P minus Equation Q)

    2x - 2x + 2y - 5y = 16 - 24

    -3y = - 8

    Magic. x has been eliminated.
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