Answer:
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,
[tex]\left\{\begin{array}{l}4x+4=5x-7\\ \\x-7=3y-4\end{array}\right.[/tex]
Solve this system of two equations. From the first equation:
[tex]4x-5x=-7-4\\ \\-x=-11\\ \\x=11[/tex]
Substitute it into the second equation:
[tex]11-7=3y-4\\ \\3y-4=4\\ \\3y=4+4\\ \\3y=8\\ \\y=\dfrac{8}{3}[/tex]
