Explanation:
In a parallelogram, opposite sides are equal and parallel. Therefore,
QT = PS = 3y ...(1)
PT + TR = PS
y + 2x + 1 = 3x + 9
2x - y = 4 .....(2)
PR = QT = 3y
PR = SQ = 3x + 9 ....(3)
From equations (1) and (3), we can see that:
3y = 3x + 9
y = x + 3
Substitute this value of y in equation (2):
2x - (x + 3) = 4
x = 7
To find the value of y, we can substitute x = 7 in equation (2):
2(7) - y = 4
y = 10
Therefore, x = 7 and y = 10.