Answer:
x = 2, y = 5
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, thus
PT = TR and QT = TS
Substitute in values
y = 2x + 1 → (1)
3y = 3x + 9 → (2)
Substitute y = 2x + 1 into (2)
3(2x + 1) = 3x + 9
6x + 3 = 3x + 9 ( subtract 3x from both sides )
3x + 3 = 9 ( subtract 3 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
Substitute x = 2 into (1)
y = 2(2) + 1 = 4 + 1 = 5
