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Math Help - Finding X and Y on a rectangle (diagnals) ???

  1. #1
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    Angry Finding X and Y on a rectangle (diagnals) ???

    Hey yal, I'm doin some geometry homework ,here and i have a question on one of the problems.. here's a link to the pic.

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    I'm trying to solve for x and y but i'm having trouble finding them... can someone show me how to do this... ? thanks.
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  2. #2
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    opposite sides of a rectangle are equal ...

    3x=2y+1

    diagonals of a rectangle are equal ...

    4x-2=y+6


    solve the system of equations for x and y. I recommend solving for y in terms of x using the second equation and substitute the result into the first equation.
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  3. #3
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    I should've been more clear, i meant how do you solve for x and y considering that they are different variables. So...

    4x-2=y+6

    and

    3x=2y+1

    pretty easy stuff, i know... i just forgot some of this and i want to get this homework done lol...
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  4. #4
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    3x = 2y + 1
    4x - 2 = y + 6

    or

    3x - 2y = 1 ..... (1)
    4x - y = 8 ..... (2)

    Multiply 2nd eq. by (-2):

    3x - 2y = 1
    -8x + 2y = -16

    adding both eq. -->

    -5x = -15 ---> x = 3

    substitute x = 3 in 1st eq. --->

    9 - 2y = 1
    2y = 8 ---> y = 4
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  5. #5
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    hello;
    i am having a similar problem. and i was lookin at how you worked that out, i was curious as to why you didn't negate the 1 and 2?
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