math

posted by peter

please can you help me solve the following equations and please can you show your method. thanks

1) 4x+3/5x-6 = x-1/x-6
2) 4x-5/1-6x = x+10/x-6

thanks once again

  1. Reiny

    If I solve it the way you typed it .....

    1. LCD is 5x, so multiply each term by 5x

    20x^2 + 3x^2 - 30x = 5x^2 - 5 - 30x
    etc

    Somehow I have a feeling you meant
    (4x+3)/(5x-6) = (x-1)/(x-6)
    cross-multiply
    5x^2 - 5x - 6x + 6 = 4x^2 - 24x + 3x - 18
    x^2 + 10x + 24 = 0
    (x+6)(x+4) = 0
    x = -6 or x=-4

    Do the second one the same way

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