Question

The diagonals AC and BD of a parallelogram
ABCD intersect at O. If OA = 2x - 3,

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Answer 1

Answer:

ABCD, is a parallelogram in which AC and BD are diagonals which intersect at point O.

we know that diagonals bisect each other so

0A=OC AND OB=OD.

Now, OA=OC,

2x-3=y+4

y=2x-7........ 1

now,OB=OD

x+3=2y-1

x+3=2(2x-7)-1

x+3=4x-14-1

x-4x=-18

-3x= -18

x=6

Now, put x =6 in (1), we get

y=2×6-7=12 - 7 =5

so, x=6 and y=5

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Step-by-step explanation: