Question

The system of equations \(x+5=0\) and \(2x-1=0\) has

• A. No solution
• B. Unique solution
• C. Two solutions
• D. Infinite solutions

Hint:

If two linear equations in one variable yield different values, the system is inconsistent.

Answer 1

The Correct Option is A

Solving both: \[ x+5=0 \Rightarrow x=-5 \] \[ 2x-1=0 \Rightarrow x=\frac{1}{2} \] Since the values are different, the system has no solution.