(b-a)x=by-ay

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Solution for (b-a)x=by-ay equation:


Simplifying
(b + -1a) * x = by + -1ay

Reorder the terms:
(-1a + b) * x = by + -1ay

Reorder the terms for easier multiplication:
x(-1a + b) = by + -1ay
(-1a * x + b * x) = by + -1ay
(-1ax + bx) = by + -1ay

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

Solving
-1ax + bx = -1ay + by

Solving for variable 'a'.

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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