Q156 / 270 · NDA 2011 (Phase 2) · Mathematics

The simultaneous equations $3 x+5 y=7$ and $6 x+10 y$ $=18$ have

  • Correct answer
    A
    no solution
  • B
    infinitely many solutions
  • C
    unique solution
  • D
    any finite number of solutions

Solution

$\because \quad 3 x+5 y=7$ $\begin{aligned} 6 x+10 y & =18 \\ \frac{3}{6} & =\frac{5}{10} \neq \frac{7}{18}\end{aligned}$ $\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}$ Equations have no solution.

Hence, the correct answer is option: 'A'.

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