Question

PLEASE HELP!
Here are the choices:
a.) x=13, y= 2/13
b.) x=13, y= 13/2
c.) x=6, y=2/13
d.) x=6, y=13/2

Answer 1

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Information Given:
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ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

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Since it is a parallelogram:
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ON = LM and
MN = OL

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ON = LM:
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7x - 9 = 6x + 4

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Subtract 6x from both sides:
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x - 9 = 4

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Add 9 to both sides:
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x = 13

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MN = OL:
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x - 7 = 2y - 7

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Sub x = 13:
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13 - 7 = 2y - 7

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Simplify:
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6 = 2y - 7

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Add 7 on both sides:
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13 = 2y

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Divide by 2:
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y = 13/2

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Answer: x = 13, y = 13/2 (Answer D)
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