SOLUTION: if DC=6x+y, BC=3x+2y, AB=25, and AD=14, then what is x and y (DC is congruent and parallel to AB, BC is congruent and parallel to AD)

Algebra ->  Parallelograms -> SOLUTION: if DC=6x+y, BC=3x+2y, AB=25, and AD=14, then what is x and y (DC is congruent and parallel to AB, BC is congruent and parallel to AD)      Log On


   



Question 1012670: if DC=6x+y, BC=3x+2y, AB=25, and AD=14, then what is x and y
(DC is congruent and parallel to AB, BC is congruent and parallel to AD)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
DC=AB
1.6x%2By=25
BC=AD
2.3x%2B2y=14
Multiply eq. 2 by 2 and subtract eq. 1 from it,
6x%2B4y-%286x%2By%29=28-25
6x%2B4y-6x-y=3
3y=3
y=1
Then,
6x%2B1=25
6x=24
x=4