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

  • question_answer
    Find the unique solution of the system of simultaneous equations\[\text{2x}-\text{y}=\text{2}\] and\[\text{4x}-\text{y}=\text{4}\].

    A)  \[\text{x}=0,\text{y}=\text{1}\]   

    B)         \[\text{x}=0,\text{y}=0\]

    C)  \[\text{x}=\text{1},\text{y}=0\]   

    D)         \[~\text{x}=\text{1},\text{y}=\text{1}\]

    Correct Answer: C

    Solution :

                    \[\Rightarrow \]                               .......      (1)                 \[x=\frac{1740}{29}=60\]             .......       (2) From (1), \[\Rightarrow \] \[140\times 605=11\times L.C.M.\]\[\Rightarrow \]         \[L.C.M.=\frac{140\times 605}{11}=7700\]\[\text{1}00\text{1}=\text{91}\times \text{1}0+\text{91}\] \[\text{91}0=\text{91}\times \text{1}0+0\]         \[\therefore \] \[=\left( \frac{144}{48}+\frac{384}{48}+\frac{240}{48} \right)=3+8+5=16\]and y = 0 is the unique solution of the given system of simultaneous equations.


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