I NEED HELP ASAP HURRY PLEASE IM BEGGING FOR HELP NEED IT NOW IM VERY CONFUSED!!!!!!!!!!In ON=8x-8, LM=7x+4, NM=x-5, and OL=3y-6, find the values of x and y for which LMNO must be a parallelogram. The diagram is not drawn to scale.

Answer:
x=12
y=11/3
Step-by-step explanation:
ON = 8x – 8
LM = 7x + 4
NM = x – 5
OL = 3y – 6
OL = NM
3y – 6 = x – 5
3y = x - 6 + 5
3y = x - 1
y = 1/3x - 1/3
ON = LM
8x – 8 = 7x + 4
x = 12
y = 1/3x - 1/3
y = 1/3(12) - 1/3
y = 4 - 1/3
y = 11/3