SOLUTION: In parallelogram ABCD, AB=2x-7, BC=x+3y, CD=x+y, and AD=2x-y-1. Please find x and y.

Algebra ->  Parallelograms -> SOLUTION: In parallelogram ABCD, AB=2x-7, BC=x+3y, CD=x+y, and AD=2x-y-1. Please find x and y.      Log On


   

Question 727710: In parallelogram ABCD, AB=2x-7, BC=x+3y, CD=x+y, and AD=2x-y-1. Please find x and y.
Answer by mbmodak(32) About Me  (Show Source):
You can put this solution on YOUR website!
https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQ7406FcocKuV2BVB0uES8BpiHy_EVmnoXmw26eRsOsUAEFJbKccw site for parallelogram ABCD
in which side ab // cd & ab=cd (opp.sides of paralleogram),bc //ad &bc=ad (opp.sides of paralleogram)
Ab=cd 2x-7=x+y ---(1) 2x-x-y=7 or x-y=7 (3)
bc=ad x+3y=2x-y-1 (2) x-2x+3y+y=-1 or -x+4y=-1 or x-4y=1 (4)
solve these(3) &(4) two linear equations
x-y =7 (3)
x-4y =1 (4) Subtract(4)-(3)
- + -
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3y = 6 Or y=2 Substitute y=2 in (3) we get x-2=7 or x=9
Thus x=9 y=2
[ab 2*9-7=9+2 or 18-7 = 11 which are opp sides // &equal similarly bc &ad]