SOLUTION: If in a rectangle, the length is increaded and the breadth is reduced by 2 units each, the area is redueced by 28sq units. If the length is reduced by one unit and beadth increased

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Question 739073: If in a rectangle, the length is increaded and the breadth is reduced by 2 units each, the area is redueced by 28sq units. If the length is reduced by one unit and beadth increased by 2 units, the area increases by 33sq units. find the dimensionsof rectangle
Please answer in manner like
let .... be x
let .... be y
please answer
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
First description:
area is xy.
%28x%2B2%29%28y-2%29=xy-28.

Second Description:
%28x-1%29%28y%2B2%29=xy%2B33.

Performing the left-side multiplications will give an xy number on the left sides; and because when you subtract xy from left and right sides on both equations, the xy number is eliminated. You obtain the system:
2y-2x-4=-28
and
-y%2B2x-2=33

Reform as the equivalent system: highlight%28x-y=12%29 AND highlight%282x-y=35%29. Subtract first equation from second equation and obtain highlight%28x=23%29... and pick either equation to find y.