If on= 5x - 7, lm = 4x+ 4, nm = x -7, and ol =3y-4, find the values of c and y for which lmno must be a parallelogram.

x=11, y=8/3

Step-by-step explanation:

Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then

LM=NO

and

LO=MN

Thus,

Solve this system of two equations. From the first equation:

Substitute it into the second equation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b