sec(y-2)=2y+tan(x-5)

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Solution for sec(y-2)=2y+tan(x-5) equation:


Simplifying
sec(y + -2) = 2y + tan(x + -5)

Reorder the terms:
ces(-2 + y) = 2y + tan(x + -5)
(-2 * ces + y * ces) = 2y + tan(x + -5)
(-2ces + cesy) = 2y + tan(x + -5)

Reorder the terms:
-2ces + cesy = 2y + ant(-5 + x)
-2ces + cesy = 2y + (-5 * ant + x * ant)
-2ces + cesy = 2y + (-5ant + antx)

Reorder the terms:
-2ces + cesy = -5ant + antx + 2y

Solving
-2ces + cesy = -5ant + antx + 2y

Solving for variable 'c'.

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

Reorder the terms:
5ant + -1antx + -2ces + cesy + -2y = -5ant + antx + 2y + 5ant + -1antx + -2y

Reorder the terms:
5ant + -1antx + -2ces + cesy + -2y = -5ant + 5ant + antx + -1antx + 2y + -2y

Combine like terms: -5ant + 5ant = 0
5ant + -1antx + -2ces + cesy + -2y = 0 + antx + -1antx + 2y + -2y
5ant + -1antx + -2ces + cesy + -2y = antx + -1antx + 2y + -2y

Combine like terms: antx + -1antx = 0
5ant + -1antx + -2ces + cesy + -2y = 0 + 2y + -2y
5ant + -1antx + -2ces + cesy + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
5ant + -1antx + -2ces + cesy + -2y = 0

The solution to this equation could not be determined.

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