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

System of equations:
\[x + 5 = 0\] \[2x - 1 = 0\]

Step 1: Solve each equation
Equation 1:
\[x = -5\]
Equation 2:
\[2x = 1 \implies x = \frac{1}{2}\]

Step 2: Compare solutions
Equation 1 solution: \(x = -5\), Equation 2 solution: \(x = \frac{1}{2}\).
The system has no common solution.

Final Answer:
\[\boxed{\text{No solution}}\]