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  5. Linear Equations in Two Variables

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

  • question_answer
    Which of the following is the graph of \[x+y=6\]and \[x-y=2?\]

    A)  

    B)  

    C)  

    D)  None of these

    Correct Answer: A

    Solution :

    Putting \[x=0\]in\[x+y=6,\]we get y = 6. Putting y = 0 in\[x+y=6,\]we get\[x=6\] So the equations \[x+y=6\]passes through (0, 6) and (6, 0). Also putting \[x=0\]in \[x-y=2,\]we get \[y=-2.\] Putting \[y=0\] in \[x-y=2,\] we get \[x=2\] So, the equations \[x-y=2\] passes through \[(0,-2)\]and \[(2,0).\] Hence, option (a) shows the graphs of \[x+y=6\]and \[x-y=2.\]


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