CAN SOMEONE HELP ME WITH THE QUESTION IN THE IMAGE. I WILL MARK BRAINLIEST WHOEVER ANSWERS CORRECTLY FIRST

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

7 0

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

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