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23 August, 10:19

Consider the following system:

equation 1: Ax + By = C

Equation 2: Dx + Ey = F

A, B, C, D, E, and F are non - zero real numbers. Which of the following can replace equation one and still have the same solution? Select all that apply.

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  1. 23 August, 10:31
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    You did not include the choices. However, I answered one that just included them. I've included the possible answers below and then the correct answers.

    A multiple of Equation 1.

    B. The sum of Equation 1 and Equation 2

    C. An equation that replaces only the coefficient of x with the sum of the coefficients of x in Equation 1 and Equation 2.

    D. An equation that replaces only the coefficient of y with the sum of the coefficients of y in Equation 1 and Equation 2.

    E. The sum of a multiple of Equation 1 and Equation 2.

    A, B and E.

    Adding and multiplying the terms allow them to keep working. However, you must make sure that each variable is changed each time. Not just one as in C and D.
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