2ax+2by-a^2-b^2-7=2x-3y+10

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Solution for 2ax+2by-a^2-b^2-7=2x-3y+10 equation:


Simplifying
2ax + 2by + -1a2 + -1b2 + -7 = 2x + -3y + 10

Reorder the terms:
-7 + 2ax + -1a2 + 2by + -1b2 = 2x + -3y + 10

Reorder the terms:
-7 + 2ax + -1a2 + 2by + -1b2 = 10 + 2x + -3y

Solving
-7 + 2ax + -1a2 + 2by + -1b2 = 10 + 2x + -3y

Solving for variable 'a'.

Reorder the terms:
-7 + -10 + 2ax + -1a2 + 2by + -1b2 + -2x + 3y = 10 + 2x + -3y + -10 + -2x + 3y

Combine like terms: -7 + -10 = -17
-17 + 2ax + -1a2 + 2by + -1b2 + -2x + 3y = 10 + 2x + -3y + -10 + -2x + 3y

Reorder the terms:
-17 + 2ax + -1a2 + 2by + -1b2 + -2x + 3y = 10 + -10 + 2x + -2x + -3y + 3y

Combine like terms: 10 + -10 = 0
-17 + 2ax + -1a2 + 2by + -1b2 + -2x + 3y = 0 + 2x + -2x + -3y + 3y
-17 + 2ax + -1a2 + 2by + -1b2 + -2x + 3y = 2x + -2x + -3y + 3y

Combine like terms: 2x + -2x = 0
-17 + 2ax + -1a2 + 2by + -1b2 + -2x + 3y = 0 + -3y + 3y
-17 + 2ax + -1a2 + 2by + -1b2 + -2x + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-17 + 2ax + -1a2 + 2by + -1b2 + -2x + 3y = 0

The solution to this equation could not be determined.

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