"By substituting eaquation (11) for equation (10), one obtains", I think.
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hrsaneiI think into is not a good preposition for the verb substituteIn a mathmatical context, it seems all right to me, but you could modify it to make it a little more exact if you wanted to.
makaay"By substituting eaquation (11) for equation (10), one obtains", I think.Actually, no. You're not substituting one equation for another equation. You're only replacing a part of the first equation with something from the second equation.