Answer:
Solution set is
[tex]x=5\\y=7[/tex]
Step-by-step explanation:
Given that in a picture there is a parallelogram PQRS
The diagonals PR and QS intersect at T
[tex]PT=x+2, TR=yQT=2x, TS = y+3[/tex]
By properties of parallelograms we know that diagonals bisect each other
Using this we get
[tex]PT=TR\\QT=TS\\x+2=y\\2x=y+3[/tex]
Substitute for y to get
[tex]2x=x+2+3\\x=5\\y=7[/tex]
Solution set is
[tex]x=5\\y=7[/tex]
