SOLUTION: Find the values of x and y in parallelogram PQRS. PT​=y, TR=2x+​1, QT=​4y, TS=5x+13

Algebra ->  Parallelograms -> SOLUTION: Find the values of x and y in parallelogram PQRS. PT​=y, TR=2x+​1, QT=​4y, TS=5x+13      Log On


   

Question 1174799: Find the values of x and y in parallelogram PQRS. PT​=y, TR=2x+​1, QT=​4y, TS=5x+13
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given:
PT=y
TR=2x%2B1
QT=4%E2%80%8By
TS=5x%2B13
The diagonals of a parallelogram bisect each other
PT+=+TR and QT+=+TS
y+=+2x%2B1+ and 4y+=+5x%2B13
We have a system of equations
y+=+2x%2B1 .....eq.1
4y+=+5x%2B13.....eq.2
-----------------------------
substitute y from eq.1 in eq.2
4%282x%2B1+%29+=+5x%2B13.....eq.2,...solve for x
8x%2B4+=+5x%2B13
8x-5x+=+13-4
3x+=+9
x=3
Now solve for y
y+=+2x%2B1 .....eq.1
y+=+2%2A3%2B1
y+=+7