TITLE: Equation is not evaluating any result
QUESTION [0 upvotes]: eq1 := $y = -26.21231979*z+15.42332896+13.22411533*e^{-.6786000000*x}$
eq2 := $y = -25.98077423*z+14.81943362+13.53858145*e^{-.6569000000*x}$
Comparing both equations, eliminating $y$
$-26.21231979*z+15.42332896+13.22411533*e^{-.6786000000*x}$ = $-25.98077423*z+14.81943362+13.53858145*e^{-.6569000000*x}$
Putting $z$= $0.5044$
$-26.21231979*(0.5044)+15.42332896+13.22411533*e^{-.6786000000*x} $=
$ -25.98077423*(0.5044)+14.81943362+13.53858145*e^{-.6569000000*x}$
I cannot find $x$ value? I tried it in Maple as well. But it doesn't evaluate the value of $x$. Any other solution?
Edit : My main task is to calculate value of $x$  by putting any value of $z$
This is just an example

REPLY [1 votes]: I suppose that the value you gave to "z" is wrong or that your coefficients are wrong. Using the numbers given in your post, there is no solution to your problem. In order to have a solution close to x=0.501, "z" should be of the order of 1.18421 (as reported by acer). The difference of your two equations goes to an extemum for x = 0.414684 and for this value this difference has a value equal to (-0.274199 + 0.231546 z).
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