For what values of x and y is PQRS a parallelogram?

24+2

ps y+4

sr y+5

qR 2x + 3

pq 2y+2

x=2, y=3

Step-by-step explanation:

PQRS is the parallelogram:

In parallelogram Both the side are equal (parallel)

PQ=RS

Therfore

2y+2=y+5

2y+2-y-5=0

2y-y+2-5=0

y-3=0

y=3

PS=QR

therefore

y+4=2x+3

y+4-2x-3=0

substituting y=3 in the equation

3+4-2x-3=0

7-2x-3=0

4-2x=0

2x=4

x=2

therefore x=2, y=3

x = 1, y = 3.

Step-by-step explanation:

(Looks like ps = x + 4 not y + 4).

If PQRS is a parallelogram them PQ = SR, so:

2y + 2 = y + 5

2y - y = 5 - 2

y = 3.

Also PS = QR:

x + 4 = 2x + 3

2x - x = 4 - 3

x = 1.