bx-ay=ax+by

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Solution for bx-ay=ax+by equation:


Simplifying
bx + -1ay = ax + by

Reorder the terms:
-1ay + bx = ax + by

Solving
-1ay + bx = ax + by

Solving for variable 'a'.

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

Add '-1ax' to each side of the equation.
-1ay + -1ax + bx = ax + -1ax + by

Reorder the terms:
-1ax + -1ay + bx = ax + -1ax + by

Combine like terms: ax + -1ax = 0
-1ax + -1ay + bx = 0 + by
-1ax + -1ay + bx = by

Add '-1bx' to each side of the equation.
-1ax + -1ay + bx + -1bx = -1bx + by

Combine like terms: bx + -1bx = 0
-1ax + -1ay + 0 = -1bx + by
-1ax + -1ay = -1bx + by

Reorder the terms:
-1ax + -1ay + bx + -1by = -1bx + bx + by + -1by

Combine like terms: -1bx + bx = 0
-1ax + -1ay + bx + -1by = 0 + by + -1by
-1ax + -1ay + bx + -1by = by + -1by

Combine like terms: by + -1by = 0
-1ax + -1ay + bx + -1by = 0

The solution to this equation could not be determined.

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