What are the classifications of each system?

Column A Column B

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

x+3y=8

B. coincident

2. - 4x+6y=-2

2x-3y=1 C. inconsistent

3. 5x-2y=4

5x-2y=6

4. y=3x-4

-3x+y=-2

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