SOLUTION: two rectangular plots of land are equak in area. the length of the first plot is one and a half times its width. the length of the second plot is 3 meters less than 15 times its wi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: two rectangular plots of land are equak in area. the length of the first plot is one and a half times its width. the length of the second plot is 3 meters less than 15 times its wi      Log On


   

Question 1080071: two rectangular plots of land are equak in area. the length of the first plot is one and a half times its width. the length of the second plot is 3 meters less than 15 times its width.
a) denoting the width of the first plot by x meters abd the width of the second plot by y meters show that x2-10y2+2y+0
b)if y=one thired x calculate the values of x and y
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
First plot dimensions (3/2)x and x

Second plot dimensions 15y-3 and y

The two plots have the same area.
%283%2F2%29x%2Ax=%2815y-3%29y
-
3x%5E2=2y%2815y-3%29
3x%5E2=30y%5E2-6
divide both sides by 3;
x%5E2=10y%5E2-2
x%5E2-10y%5E2%2B2=0-------result you wanted