Question

Help could you explain step by step?

Answer 1

TR=PT as diagonals bisect each other in parallelogram

• y=5x+1--(1)

Similarly

QT=TS

• 2y=6x+10-(2)

Equate both equations in (2)

• 2(5x+1)=6x+10
• 10x+2=6x+10
• 4x=8
• x=2

Now

• y=5(2)+1
• y=11

Answer 2

x = 2 , y = 11

Explanation:

the diagonals of a parallelogram bisect each other , then

PT = TR , that is

y = 5x + 1 → (1)

QT = TS , that is

2y = 6x + 10 → (2)

substitute y = 5x + 1 into (2)

2(5x + 1) = 6x + 10

10x + 2 = 6x + 10 ( subtract 6x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

substitute x = 2 into either of the 2 equations for corresponding value of y

substituting into (1)

y = 5(2) + 1 = 10 + 1 = 11