The system of equations $x + 5 = 0$ and $2x - 1 = 0$, has:

(a) No solution

(b) Unique solution

(c) Two solutions

(d) Infinite solutions

[CBSE Std. 2025]

Ans. (a) No solution

Explanation: Given, equations:

$$x + 5 = 0 \quad \text{...(i)}$$

$$2x - 1 = 0 \quad \text{...(ii)}$$

From, eq. (i), we get $x = -5$

From, eq. (ii), we get $x = \frac{1}{2}$

Since, two equations give different values of $x$, therefore no common solution is there that satisfies both the equations simultaneously.