If ON = 5x- 7, LM= 4x+8, NM= x-6, and OL = Sy-5, How would I find the values of x and y for which LMNO must be a parallelogram?

2021-02-25T21:00:06Z

OL=5y-5 ** 

Krishnamurthy2021-02-25T21:28:43Z

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 If ON = 5x - 7, LM = 4x + 8, NM = y - 6, and OL = 5y - 5, 
 how would I find the values of x and y 
 for which LMNO must be a parallelogram?
 The opposite sides of a parallelogram are equal.
 ON = LM and OL = NM
 5x - 7 = 4x + 8
 x = 15
 5y - 5 = y - 6
 y = -1/4

?2021-02-24T20:33:28Z

Is there a typo for the length of OL ??
You have OL = Sy-5
Did you mean OL = 5Y-5 OR OL = 2y-5 ???