Answer:
x = 10, y = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The opposite sides of a parallelogram are congruent.
For LMNO to be a parallelogram then
ON = LM and OL = NM, that is
ON = LM
7x - 6 = 6x + 4 ( subtract 6x from both sides )
x - 6 = 4 ( add 6 to both sides )
x = 10 , then
NM = x - 9 = 10 - 9 = 1 and
OL = NM , that is
3y - 3 = 1 ( add 3 to both sides )
3y = 4 ( divide both sides by 3 )
y = [tex]\frac{4}{3}[/tex]
