10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Pair of Linear Equations In Two Variables

  • question_answer
    Which of the following is a consistent system of simultaneous equations?

    A)  \[\text{m}+\text{3n}=\text{6}\] \[\text{2m}+\text{6n}=\text{12}\]

    B)                        \[\text{a }+\text{ 3b }=\text{ 6}\]\[\text{2a}-\text{3b}=\text{12}\]

    C)  \[\text{x}-\text{4y}=\text{6}\]\[\text{2x}-\text{8y}=\text{12}\]                             

    D)  \[l-\text{2m}=\text{6}\]\[3l-6m=12\]

    Correct Answer: B

    Solution :

     Given, system of equations are\[{{(\sqrt{5})}^{2}}=5\]and\[\sqrt{9}-\sqrt{4}=3-2=1\]. \[\sqrt{2}-\sqrt{3}\]        \[1789=29x+49\]\['x'\] \[\therefore \]  \[1789-49=29x\] Hence the system is consistent.


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