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  3. 9th Class
  4. Mathematics
  5. Linear Equations in Two Variables

9th Class Mathematics Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • question_answer
    If \[2x+3y\le 6,x\ge 0,y\ge 0,\] then one of the solutions is

    A)  \[x=-2\,\,\text{and }\,y=-3\]      

    B)  \[x=-1\text{ and }y=-2\]

    C)   \[x=1\text{ and =1}\]       

    D)  \[x=-1\text{ and }y=-1\]

    Correct Answer: C

    Solution :

    (c): Given, \[2x+3y\le 6,x\ge 0,y\ge 0\] Now, \[2x+3y<6\] Put \[x=1,y=1\Rightarrow 2\times 1+3\times 1\le 6\Rightarrow 5<6\] Here, \[1\ge 0\text{ }and\text{ }1\ge 0\] Therefore, it is obvious that \[x=1\]and \[y=1\]is one of the solution.           


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