Math - Solving Linear systems

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Solve the linear system in two space

[x,y] = [-12,-7] + s[8,-5]
[x,y] = [2,-1] + t[3,-2]

  • Math - Solving Linear systems -

    Set the x's equal and the y's equal to each other .....

    -12 + 8s = 2 + 3t ---- 8s - 3t = 14 #1
    -7 - 5s = -1 - 2t ---> 5s - 2t = -6 #2

    #1x2 --> 16s - 6t = 28
    #2x3 --> 15s - 6t = -18
    subtract:
    s = 46
    8(46) - 3t = 14
    t = 118

    check:
    for those values first line [356,-237]
    and the second line [356,-237]

    They intersect at the point (356,-237)

    You can use the same method for the other post which I answered as "anonymous"

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