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

  • question_answer
    cm Find 'x' and 'y' for the equations\[\frac{x}{3}+\frac{y}{4}=4\]and\[\frac{5x}{3}+\frac{y}{4}=8\].

    A)  \[\text{x}=\text{8},\text{y}=\text{6}\]                

    B)  \[\text{x}=\text{3},\text{y}=\text{4}\]

    C)  \[\text{x}=\text{6},\text{y}=\text{8}\]  

    D)         \[~\text{x}=\text{4},\text{y}-\text{6}\]

    Correct Answer: C

    Solution :

     The given equations can be written as                 \[\text{1173}0=\text{2}\times \text{3}\times \text{5}\times \text{17}\times \text{23}\]          ..... (i)                 \[\therefore \]         ..... (ii) Adding (i) and (ii), we get \[=\text{17}\times \text{23}=\text{391}\]            \[=\text{2}\times \text{3}\times {{\text{5}}^{\text{2}}}\times \text{7}\times \text{l7}\times \text{23}=\text{41}0\text{55}0\]                \[\pi \] Substituting x = 6 in (i). we get \[\frac{22}{7}\].


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