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

AlgebraLinear Equations

For the system of equations $3x + 2y = 7$ and $6x + my = 14$, the system has infinitely many solutions when $m =$ ?

  1. A.$2$
  2. B.$4$Correct answer
  3. C.$6$
  4. D.$8$

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Quick fact: For infinitely many solutions, the ratios of coefficients must be equal: $\frac{3}{6} = \frac{2}{m} = \frac{7}{14}$, giving $m =$ $4$.

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