what values of X and Y prove the following quadrilateral a parallelogram

We solve as follows:
*First: We will solve for x:
[tex]2x=70\Rightarrow x=35[/tex]*Second: We will solve for y using x:
[tex]3x+5=x+3y\Rightarrow3(35)+5=(35)+3y\Rightarrow110=35+3y[/tex][tex]\Rightarrow75=3y\Rightarrow y=25[/tex]So, the values of x & y that would make the quadrilateral a parallelogram are 35 & 25 respectively.