Question

Which system of equations is independent and inconsistent?

A) 2x + 3y = 5
4x + 6y = 10
B) 3x + 2y = 7
6x + 4y = 14
C) 2x + y = 4
4x + 2y = 8
D) 3x - 2y = 5
6x - 4y = 10

Answer 1

The system of equations B) 3x + 2y = 76x + 4y = 14 is independent and inconsistent.

Step-by-step explanation:

The system of equations B) 3x + 2y = 76x + 4y = 14 is independent and inconsistent.

To check if a system of equations is independent and inconsistent, we need to find the determinant of the coefficient matrix. If the determinant is 0, the system is dependent. If the determinant is non-zero, the system is independent.

In this case, the determinant of the coefficient matrix is 0, so the system is dependent. Therefore, the system is inconsistent.