Question

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

A. dependent.
B. consistent.
C. inconsistent.
D. independent.

Answer 1

C, Inconsistent

Explanation:

Answer 2

The system of equations 3x – 6y = 20 and 2x – 4y = 3.
First, we need to get the solution of the equations through elimination.

2(3x – 6y = 20) --> 6x - 12y = 40
3(2x – 4y = 3) --> 6x -12y = 9

6x - 12y = 40
6x -12y = 9
----------------
0.

So there is no solution. Then the system of equation is considered as (C) inconsistent.