Question 1133434: Parallelogram ABCD; AC bisects with BD at E; AE= 3x + y, EC= 2x + y, find values of x and y
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52903)   (Show Source):
You can put this solution on YOUR website! .
In each parallelogram, the diagonals bisect each other.
Therefore, from the given condition, you have
|AE| = |EC|, or 3x + y = 2x + y,
which implies
3x = 2x, and then x = 0.
ANSWER. x= 0. y can be any number (it can not be defined by an unique way from the given data).
Solved, answered and completed.
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! Parallelogram ABCD; AC bisects with BD at E; AE= 3x + y, EC= 2x + y, find values of x and y
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The lengths of AE and EC are equal.
3x + y = 2x + y
3x = 2x
x = 0
y is not defined.
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