Answer:
C. x = 5, y = 7
Step-by-step explanation:
Diagonals of a parallelogram bisects each other. Therefore:
[tex] 2x = y + 3 [/tex], and,
[tex] x + 2 = y [/tex]
✔️To find the value of x, substitute y = (x + 2) in [tex] 2x = y + 3 [/tex].
Thus:
[tex] 2x = (x + 2) + 3 [/tex]
[tex] 2x = x + 2 + 3 [/tex]
[tex] 2x = x + 5 [/tex]
Subtract x from each side
[tex] 2x - x = 5 [/tex]
[tex] x = 5 [/tex]
✔️To find y, substitute x = 5 in [tex] x + 2 = y [/tex].
Thus:
[tex] 5 + 2 = y [/tex]
[tex] 7 = y [/tex]
[tex] y = 7 [/tex]
