Take [.5x-.6xy-.14x+.25y]/[1.2x+.7y-.6x-1.2y] and combine like terms.
There are two x terms in the numerator (.5x and -.14x),
two x terms in the denominator (1.2x and -.6x),
and two y terms in the denominator (.7y and -1.2y).

Combining each pair of like terms gives [.36x -.6xy + .25y]/[0.6x-0.5y].
This is the same as (ax+by) / (ax+by) where a=0.6 and b=-0.5.
An ax+by can be cancelled, leaving ax+by.  That is,  0.6x - 0.5y.

If that is not recogninzed, multiply by 100/100 givig (36x - 60xy + 25y)/(60x-50y);
Doing long division, if we multiply 6x-5y by 6x, we get 36x - 30xy.
Subtraction of this term from 36x - 60xy + 25y gives -30xy + 25y.
If we multiply 6x-5y by -5y, that is the answer.
That makes the fraction (6x-5y)(6x-5y)/[10(6x-5y)].
Cancelling the 6x-5y in the top and bottom leaves one in the top, so the (6x-5y)/10.
Dividing by 10 gives 0.6x - 0.5y, and that's the same as the previous result.


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Scott A Wilson


Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.


I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Documents at Boeing in assistance on the manufacturiing floor.

MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

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