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

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

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.