Question

No solution when 'a' ≠ 0 and 'b' is not a multiple of 'a', conflicting with equations, causing inconsistency.

Answer 1

When 'a' ≠ 0 and 'b' is not a multiple of 'a', it means that the system of equations is inconsistent and has no solution.

Step-by-step explanation:

In mathematics, when 'a' ≠ 0 and 'b' is not a multiple of 'a', it means that the system of equations is inconsistent.

An inconsistent system of equations means that there is no solution that satisfies both equations simultaneously.

This occurs when the two equations represent parallel lines or when they are contradictory.

For example, let's consider the equations:

2x + 3y = 7

4x + 6y = 5

Here, 'a' is the coefficient of 'x' (2 and 4), and 'b' is the coefficient of 'y' (3 and 6). In this case, the second equation is a multiple of the first equation. Therefore, there is no solution that can satisfy both equations, resulting in an inconsistent system.

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