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What are the classifications of each system?




Column A                                              Column B

  1. 4x+y=8                                        A. consistent independent

x+3y=8

Bcoincident
  1. -4x+6y=-2

2x-3y=1                                                             C. inconsistent

  1. 5x-2y=4

5x-2y=6

  1. y=3x-4

-3x+y=-2

Verified Answer :

In order for us to know whether the equations are consistent, independent, coincident and inconsistent according to their slope.

1. 4x+y=8 ---> y = -4x + 8 ---> m = -4
    x+3y=8 ---> y = -1/3x + 8/3 ---> m = -1/4
    Independent

2. -4x+6y=-2 ---> y = 3/2x - 1/3 ---> m = 3/2
      2x-3y=1 ---> y = 3/2x - 1/2 ---> m = 3/2
    Inconsistent

3. 5x-2y=4 ---> y = 5/2x - 2 ---> m = 5/2
    5x-2y=6 ---> y = 5/2x - 3 ---> m = 5/2
    Inconsistent

4. y=3x-4 ---> y = 3x - 4 ---> m = 3
   -3x+y=-2 ---> y = 3x - 2 ---> m =3
    Inconsistent

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