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A parrallelogram P Q R S all inter sect at T 

PT=Y

TR=4X+1

QT=2Y

TS=3X+12

Solve for X and Y

 Mar 19, 2016
 #1
avatar+118667 
0

The meaning of your question is not clear ://

 

I assume P Q R and S are all points.  How can they intersect at another point.  It makes no sense.

 Mar 19, 2016
 #2
avatar+33657 
0

If we assume Kallamoar meant that the diagonals intersect at T, then using the fact that the diagonals of a parallelogram bisect each other we have:

 

Y = 4X + 1                  (1)

2Y = 3X + 12              (2)

 

Subtract eqn(2) from 2*eqn(1):     0 = 5X - 10   so   5X = 10   or  X = 2

 

Substitute this into eqn(1) to get   Y = 4*2 + 1    or  Y = 9

.     

 Mar 19, 2016

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