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

  • question_answer
    A pair of linear equations which has a unique solution x = 2 and y = - 3 is

    A) \[x+y=1\] and \[2x-3y=-5\]

    B) 2x+5y=-11 and \[4x+10y=-22\]

    C) \[2x-y=1\]and \[3x+2y=0\]

    D) \[x-4y-14=0\]and \[5x-y-13=0\]

    Correct Answer: B

    Solution :

    If x = 2, y = - 3 is a unique solution of any pair of equation, then these values must satisfy that pair of equations.
    From option [b],
    LHS \[=2x+5y=2\left( 2 \right)+5\left( -3 \right)\]
    \[=4-15=-11=\]RSH
    and \[=4x+10y=4\left( 2 \right)+10\left( -3 \right)\]
    \[=8-30=-22=\]RHS


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