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Math Help - equations reduced

  1. #1
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    equations reduced

    Finding the equations reduced with x independent variable of straight intersection of plans


    n1: 3x-2y-z-1=0

    n2: x+2y-z-7=0


    Answer:
    y=\frac{1}{2}x+\frac{3}{2}
    z=2x-4
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  2. #2
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    Quote Originally Posted by Apprentice123 View Post
    Finding the equations reduced with x independent variable of straight intersection of plans


    n1: 3x-2y-z-1=0

    n2: x+2y-z-7=0


    Answer:
    y=\frac{1}{2}x+\frac{3}{2}
    z=2x-4
    Hey you should be able to do this.

    The common line lies on both n1 and n2. Thus both equations must be satisfied for points on the intersection . So first eliminate z by subtracting n2 from n1,

    n1-n2: 3x-2y-z-1- (x+2y-z-7) = 2x - 4y + 6 =0 \Rightarrow y = \frac{2x}{4} + \frac64 = \Rightarrow y = \frac{x}2 + \frac32

    Now do the other one please... Its easy, just eliminate y!
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  3. #3
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    Thank you
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