exy=e^4x-e^5y

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Solution for exy=e^4x-e^5y equation: 


Simplifying
exy = e4x + -1e5y

Solving
exy = e4x + -1e5y

Solving for variable 'e'.

Reorder the terms:
exy + -1e4x + e5y = e4x + -1e4x + -1e5y + e5y

Combine like terms: e4x + -1e4x = 0
exy + -1e4x + e5y = 0 + -1e5y + e5y
exy + -1e4x + e5y = -1e5y + e5y

Combine like terms: -1e5y + e5y = 0
exy + -1e4x + e5y = 0

Factor out the Greatest Common Factor (GCF), 'e'.
e(xy + -1e3x + e4y) = 0


Subproblem 1
Set the factor 'e' equal to zero and attempt to solve:

Simplifying
e = 0

Solving
e = 0

Move all terms containing e to the left, all other terms to the right.

Simplifying
e = 0

Subproblem 2
Set the factor '(xy + -1e3x + e4y)' equal to zero and attempt to solve:

Simplifying
xy + -1e3x + e4y = 0

Reorder the terms:
-1e3x + e4y + xy = 0

Solving
-1e3x + e4y + xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
e = {0}

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