SOLUTION: In a rectangle, one side equals 4y-13 and its opposite side equals 15-x. The other side equals 3x-5 and its opposite side equals y+1. Find x and y.

Algebra ->  Rectangles -> SOLUTION: In a rectangle, one side equals 4y-13 and its opposite side equals 15-x. The other side equals 3x-5 and its opposite side equals y+1. Find x and y.       Log On


   

Question 947297: In a rectangle, one side equals 4y-13 and its opposite side equals 15-x. The other side equals 3x-5 and its opposite side equals y+1. Find x and y.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
In a rectangle, two opposite sides are parallel and equal in length.
so, if in a rectangle, one side equals 4y-13 and its opposite side equals 15-x, then
4y-13=15-x.........solve for x
x=-4y%2B13%2B15
x=-4y%2B28......eq.1

if the other side equals 3x-5 and its opposite side equals y%2B1, then
3x-5=y%2B1........solve for x
3x=y%2B1%2B5
x=y%2F3%2B6%2F3
x=y%2F3%2B2......eq.2
left sides of eq.1 and eq.2 are same, so make right sides same too
y%2F3%2B2=-4y%2B28......solve for y

y%2F3%2B4y=-2%2B28
y%2F3%2B12y%2F3=26
13y%2F3=26
13y=26%2A3
y=%28cross%2826%292%2A3%29%2Fcross%2813%291
highlight%28y=6%29
now find x
x=y%2F3%2B2......eq.2
x=6%2F3%2B2
x=2%2B2
highlight%28x=4%29