such as 1:
eq1=x+y==3
eq2=x+2y==7
get the result:
(x+y)/(x+2y)==3/7
such as 2:
eq3=x^2-y^2==9
eq4=x-y==3
get the result:
x+y==3
such as 3:
The parameters a and c are both greater than 0
eq5=((x+c)^2+y^2)-((x-c)^2+y^2)==4 c x
eq6=Sqrt[(x+c)^2+y^2]+Sqrt[(x-c)^2+y^2]==2a
get the result:
Sqrt[(x+c)^2+y^2]-Sqrt[(x-c)^2+y^2]==2 c x/a
to David
The second and the third scenario did not achieve the desired result
eq3 = x^2 - y^2 == 9
eq4 = x - y == 3
DivideSides[eq3, eq4, Assumptions -> {x - y != 0}]
eq5 = ((x + c)^2 + y^2) - ((x - c)^2 + y^2) == 4 c x
eq6 = Sqrt[(x + c)^2 + y^2] + Sqrt[(x - c)^2 + y^2] == 2 a
DivideSides[eq5, eq6, Assumptions -> {a > 0, c > 0}]
Adding it doesn't work either
DivideSides
acceptsAssumptions
option, please read the document carefully. And please put a bit more effort in adding proper tags to your question. $\endgroup$Expand
in your previous question,Simplify
/FullSimplify
. $\endgroup$