Question 1054993: the length of a room exceeds its breath by 3dm. If the length of a room had been increased by 3dm and breath is diminished by 2dm, the area would have not been altered. Find the dimensions.
Answer by ikleyn(52879)   (Show Source):
You can put this solution on YOUR website! .
the length of a room exceeds its breath by 3dm. If the length of a room had been increased by 3dm and breath is diminished by 2dm,
the area would have not been altered. Find the dimensions.
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x - y = 3, (1)
(x+3)*(y-2) - xy = 0. (2)
Simplify (by opening parentheses in (2) )
x - y = 3,
xy +3y - 2x -6 - xy = 0,
or
x - y = 3, (1')
-2x + 3y = 6. (2')
Express x = 3+y from (1') and substitute it into (2'). You will get
-2(3+y) + 3y = 6.
Single equation for one unknown.
I am sure that you can complete the solution from this point.
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