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Asked in PPSC, FPSC and other one-paper exams (compiled from unofficial resources).

AlgebraLinear Equations

In the system of equations above, $ax + 2y = 5$ and $3x - 6y = 20$, $a$ is a constant. If the system has one solution, which of the following CANNOT be the value of $a$?

  1. A.$5$
  2. B.$0$
  3. C.$2$
  4. D.$-1$Correct answer

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Quick fact: For a unique solution, the coefficient ratios must not be equal, so $a$ cannot be $-1$ because that would make the lines parallel.

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