4. The system of equations 3x - 6y = 20 and 2x - 4y = 3 is

A. dependent.

B. independent.

C. consistent.

D. inconsistent.

3x - 6y = 20

-6y = - 3x + 20

y = 1/2x - 20/6 ... slope = 1/2 ... y int = - 20/6 = - 10/3

2x - 4y = 3

-4y = - 2x + 3

y = 1/2x - 3/4 ... slope = 1/2 ... y int = - 3/4

same slope, different y int = parallel lines = no solution = inconsistent