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Question: How to substitute a part of equation with an expression

Question:How to substitute a part of equation with an expression

pik1432 245 Maple
substitution
July 08 2019
1

Would you tell me how to achieve this?

> eqn1 := e1*i1 + e2*i2 + e3*i3 = 0
Then, 

solve( { eqn1 } , { i1 } , explicit ) ;
                     /       e2 i2 + e3 i3\ 
                    { i1 = - ------------- }
                     \            e1      / 
Then, I want to replace 'e2/e1' with this expression:

> eqn2 := n12 = e1/e2;

In other words, I want to express the following:

                       /       e2 i2 + e3 i3\ 
                    { i1 = - ------------- }
                     \            e1      / 

as this:

                      /          -i2     - e3 i3\ 
                    { i1 =  ------   + ------ }
                     \            n12        e1   / 

 

Thank you in advance!

 
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