Question

The pair of equations x=0 and x=5 has

• A. Unique solution
• B. Infinitely many solutions
• C. Two solutions
• D. No solution

Answer 1

The Correct Option is D

To solve the problem, we need to analyze the system of two equations: \( x = 0 \) and \( x = 5 \), and determine how many solutions this system has.

1. Understanding the Given Equations:
The two equations given are:
\( x = 0 \)
\( x = 5 \)

2. Analyzing the Equations:
These are two linear equations representing vertical lines in the coordinate plane. The line \( x = 0 \) is the y-axis, and the line \( x = 5 \) is a vertical line 5 units to the right of the y-axis.

3. Intersections of the Lines:
Since these lines are parallel (both vertical) and have different x-values, they will never intersect. Hence, there is no common solution.

Final Answer:
The system of equations has no solution.