Graphing Method

y=4x+3
y=x-5

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asked by Lexi
  1. Select 2 or 3 convenient points and graph the 2 Eqs. The point where they intersect is the solution:

    y = 4x+3: (-2,-5),(0,3),(1,7).

    y = x-5: (-2,-7),(0,-5),(2,-3).

    Check your results by solving algebraically:

    Eq1: y = 4x+3.
    Eq2: y = x-5.
    In Eq1, substitute x-5 for y:
    x-5 = 4x+3,
    x-4x = 3+5,
    -3x = 8,
    x = -8/3 = -2 2/3.

    In Eq2, substitute -8/3 for x:
    y = -8/3 - 5, 5 = 15/3,
    y = -8/3 -15/3 = -23/3 = -7 2/3.

    Solution Set = (-2 2/3,-7 2/3).

    The graphing Method is not as accurate as the other methods.

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    posted by Henry

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