SOLUTION: `In a rectangle, one side equals 6y-6 and its opposite side equals 2x+20. The other side equals 3x+21 and its opposite side equals 6y. Find x and y.

Algebra ->  Rectangles -> SOLUTION: `In a rectangle, one side equals 6y-6 and its opposite side equals 2x+20. The other side equals 3x+21 and its opposite side equals 6y. Find x and y.       Log On


   

Question 951115: `In a rectangle, one side equals 6y-6 and its opposite side equals 2x+20. The other side equals 3x+21 and its opposite side equals 6y. Find x and y.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since opposite sides are congruent.
6y-6=2x%2B20
-2x%2B6y=26
1.x-3y=-13
and
3x%2B21=6y
x%2B7=2y
2.x-2y=-7
Subtract eq. 1 from eq. 2,
x-2y-x%2B3y=-7%2B13
y=6
So then,
x-3%286%29=-13
x-18=-13
x=5