SOLUTION: find the values of x and y in the parallelogram PQRS PT=y,TR=5x+1,QT=2y,TS=6x+10

Algebra ->  Parallelograms -> SOLUTION: find the values of x and y in the parallelogram PQRS PT=y,TR=5x+1,QT=2y,TS=6x+10      Log On


   

Question 934712: find the values of x and y in the parallelogram PQRS
PT=y,TR=5x+1,QT=2y,TS=6x+10
Answer by MathLover1(20850) About Me  (Show Source):
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find the values of x and y in the parallelogram PQRS:
in the parallelogram opposite sides are equal in length

if PT=y and TR=5x%2B1 equal, we have
y=5x%2B1.............eq.1
if QT=2y and TS=6x%2B10equal, we have
2y=6x%2B10.............eq.2
solve the system:
y=5x%2B1.............eq.1
2y=6x%2B10.............eq.2....both sides divide by 2
___________________________________
y=5x%2B1.............eq.1
y=3x%2B5.............eq.2
_______________________________subtract 2 from 1
y-y=5x%2B1-3x-5
0=2x-4
4=2x
4%2F2=x
highlight%28x=2%29
find y
y=5%2A2%2B1.............eq.1
highlight%28y=11%29
sides length will be:
PT=11 and
TR=11
QT=22 and
TS=22