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PLZ HLP Given the equation 5x + y = 7, which equation below would cause a consistent-independent system?

Group of answer choices

10x + 2y = 14

−15x − 3y = −6

6x + 2y = 7

5x + y = −7

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skylart924

Answer:

the equation D ) would cause a consistent-independent system.

Step-by-step explanation:

A ) 5 x + y = 7  /*( -2 )

    10 x + 2 y = 14

    --------------------

    - 10 x - 2 y = - 14

      10 x + 2 y = 14

   ------------------------

       0 x = 0  ( Dependent system )

B ) 5 x + y = 7  / *  3

    - 15 x - 3 y = - 6

    --------------------------

    15 x + 3 y  = 21

    - 15 x - 3 y = - 6

  -------------------------

        0 x = 15 ( Inconsistent system )

C )   5 x + y = 7

       5 x + y = - 7  / * ( - 1 )

       ---------------------------

       5 x + y = 7

      - 5 x - y = 7

    ------------------

        0 x = 14  ( Inconsistent system )

D ) 5 x + y = 7  / * ( - 2 )

     6 x + 2 y = 7

     ------------------

      - 10 x - 2 y = - 14

        6 x   + 2 y = 7

      -----------------------

       - 4 x = - 7;     x = 7/4;   y = - 7/4

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