SOLUTION: If DC=6x+2y, BC=3x+2y, AB=25, and AD=14, then x=___ and y=_____

Algebra ->  Parallelograms -> SOLUTION: If DC=6x+2y, BC=3x+2y, AB=25, and AD=14, then x=___ and y=_____      Log On


   



Question 1023943: If DC=6x+2y, BC=3x+2y, AB=25, and AD=14, then x=___ and y=_____
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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If DC=6x+2y, BC=3x+2y, AB=25, and AD=14, then x=___ and y=_____
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You forgot to notice in the condition that the quadrilateral ABCD is kind of parallelogram (my be rectangle).


Then use he property of a parallelogram to have the opposite sides congruent.

It will give you the equations

6x + 2y = 25,
3x + 2y = 14.

And the solutions x = 11%2F3 and y = 3%2F2.