What are the values of x and y for which quadrilateral is ABCD is a parallelogram? Explain.

Answer:
The value of x = 2.
The value of y = 1.
Step-by-step explanation:
The length of opposite sides of a parallelogram are equal.
Hence, the length of 4x - 3 and x + 3 are equal.
Similarly, the lengths of 3y and 5y - 2 are equal.
[tex]$ \therefore 4x - 3 = x + 3 $[/tex]
[tex]$ \implies 3x = 6 $[/tex]
[tex]$ \implies \textbf{x = 2} $[/tex]
And [tex]$ 3y = 5y - 2 $[/tex]
[tex]$ 2y = 2 $[/tex]
[tex]$ \implies \textbf{y = 1} $[/tex]
Therefore, the values of x and y are: 2; 1 respectively.