Question

The simultaneous equations \( Kx + 2y = 1 \), \( K(1 - y) - 2x = 2 \) and \( K + 2y = 3 \) have only one solution when

• A. \( K = -2 \)
• B. \( K = 0 \)
• C. \( K = 1 \)
• D. \( K = 10 \)

Hint:

For simultaneous equations, solve step-by-step to find the values of unknowns that satisfy all equations.

Answer 1

The Correct Option is C

Step 1: Solving the system of equations.
By substituting values and solving the simultaneous system, we find that the solution exists only when \( K = 1 \).

Step 2: Conclusion.
Thus, the correct answer is option (C).

Final Answer: \[ \boxed{\text{(C) } K = 1} \]