MathematicsThe graph of the equations x+y=5 and x-y=1 will be

The graph of the equations x+y=5 and x-y=1 will be


  1. A
        Parallel lines
  2. B
        Intersecting lines
  3. C
        Lines coincide
  4. D
        Concurrent lines 

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    Solution:

    Given, equations x+y=5 and x-y=1.
    Take a few points on both lines and draw the graphs of both lines.
    For x+y=5,
    x = 0 gives,
    0+y=5
    y=5
    For x-y=1.
    Put x=0, 1, 3,
    0-y=1
    y=-1
    1-y=1
    y=0
    3-y=1
    y=2
    y=-1, 0, 2
    From the graphs, we can say that the lines are intersecting at (3,2).
    Hence, the correct option is 2.
     
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