SOLUTION: the length of a rectangle is 3 times the width. if the length is increased by 6 inches and the width is increased by 5, then the length will be twice the width. what are the dimens

Algebra ->  Rectangles -> SOLUTION: the length of a rectangle is 3 times the width. if the length is increased by 6 inches and the width is increased by 5, then the length will be twice the width. what are the dimens      Log On


   

Question 800873: the length of a rectangle is 3 times the width. if the length is increased by 6 inches and the width is increased by 5, then the length will be twice the width. what are the dimensions of the rectangle
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
x for length
y for width

x=3y;
If x+6 and y+5, (not sure if means by units or "times"), then x+6=2(y+5).

System of Equations:
x=3y and x%2B6=2%28y%2B5%29+
Simplify second equation,
x%2B6=2y%2B10
x-2y=4.
Substitute using the x formula:
%283y%29-2y=4
highlight%28y=4%29 meaning x=3%2Ay=3%2A4=highlight%2812%29