The number of for which the system of linear equations

has no solution, is

(A) 6

(B) 7

(C) 8

(D) 9

## Solution:

Tip for solving this question:

- By converting linear equations into matrix form, find the determinant of the matrix. Also, check out What is Determinant of Matrix in detail here.
- Then using properties of linear equations, we find the number for no solutions.

**Step 1:**

Matrix Form of Linear Equations:

Now, the determinant of a matrix is

**Step 2:**

We have given that system of linear equations has no solution

For no solution, = 0

and

No solution is there for

Therefore, from (1) and (2)

Number of solutions = 7

**Final Answer:**

Option (B) is correct.

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