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  5. Linear Equations in Two Variables

9th Class Mathematics Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • question_answer
    The system of equations \[\mathbf{x}+\mathbf{2y}=\mathbf{3}\] and \[\mathbf{3x+6y=9}\] has

    A)  Unique solution                   

    B)  No solution

    C)  Infinitely many solutions    

    D)  Unite numbers of solutions

    Correct Answer: C

    Solution :

    (c): Given system of equation are \[x+2y=3\text{ }and\text{ }3x+6y=9\] \[\Rightarrow x+2y=3\] Here, \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\] Hence, given system of equation has infinitely many solutions.     


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