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

  • question_answer
    What is the number of solutions of the pair of linear equations\[\text{4p}-\text{6q}+\text{18}=0\]and\[\text{2p}-\text{3q}+\text{9}=0\]?

    A)  0                                            

    B)  1

    C)  2                            

    D)         Infinitely many

    Correct Answer: D

    Solution :

     Given: \[\therefore \]and \[{{6}^{x}}\] \[{{x}^{3}}\]       \['x'\]\[\text{(25}\times \text{7)cm}\]and\[~(\text{2}\times \text{52}\times \text{73) cm}\] \[=(\text{25}\times \text{7})\text{(2}\times {{\text{5}}^{\text{2}}}\times {{\text{7}}^{\text{3}}}\text{) c}{{\text{m}}^{\text{2}}}\]          \[={{\text{2}}^{\text{6}}}\times {{\text{5}}^{\text{2}}}\times {{\text{7}}^{\text{4}}}\text{c}{{\text{m}}^{\text{2}}}\] Thus, the given system of equations has infinitely many solutions. To find if the system of simultaneous equations is consistent check if it. satisfies the condition \[2-\sqrt{4}=2-2=0\]


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