simplification of expression

[sandiphw]

Can anyone help me to find out to simplify the complex mathematical expression:
eg:

(3 X1+ 5 X2+15)/(X1+3 X2+5)=2

should be outputted as
X1 - X2 = -5

variable may be of any no.

[NotLKH]

Originally posted by sandiphw
(3 X1+ 5 X2+15)/(X1+3 X2+5)=2

If the above is meant to actually be:


(3*X₁+ 5*X₂+15)/(X₁+3*X₂+5)=2

then, this is equivalent to:

3*X₁+ 5*X₂+15 = 2*(X₁+3*X₂+5)

or:

3*X₁+ 5*X₂+15 = 2*X₁+6*X₂+10

Or:

X₁*(3-2) + X₂*(5-6) + (15-10) = 0

Or:

X₁ - X₂ + 5 = 0




-Lou

[riis]

This is true, except when X1 + 3*X2 + 5 = 0, of course. (Division by zero)
This is the case when X2 = 0.