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Math Help - Intersection of two lines

  1. #1
    Member rowe's Avatar
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    Intersection of two lines

    Just checking I'm not going crazy:

    Find the point of intersection of the lines y_1 = -2x + 5, y_2 = 5x - 3. I have tried to deduce by saying that where the lines intersect, their y values will be identical, and so the difference of the two must equal 0:

    0 = y_1 - y_2 = -7x + 8

    Therefore,

    x = \frac{8}{7}

    I can obviously plug x into one of the above equations to get the y value for the intersection. Is x = \frac{8}{7} correct? The answer in my book gives the reciprocal of this, but I have gone over solving the equation -7x + 8 several times and I still get the same result.
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  2. #2
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    You are correct.
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  3. #3
    Member rowe's Avatar
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    Thanks. This is one seriously misprinted book.
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  4. #4
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    Talking

    Quote Originally Posted by rowe View Post
    Thanks. This is one seriously misprinted book.
    That can happen. Kudos to you for checking to be sure!
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