Math

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i) The two lines 4x-6y=-5, and 7x+6y=7 intersect at the point where x= and y=?

ii) If the line 7x+ky=7 is parallel to 4x-6y=-5, then what is the value of k? Answer: k = ?

  • Math -

    The two equations are easy to solve, just add up the two equations and the y term will drop out to get
    11x = 2
    x = 2/11
    sub back into the second (or the first) to get
    7(2/11) + 6y = 7
    times 11
    14 + 66y = 77
    66y = 63
    y = 63/66 = 21/22

    slope of first line = -7/k
    slope of 2nd line = 4/6 = 2/3

    so -7/k = 2/3
    cross-multiply
    2k = -21
    k = -21/2

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