ax-ay+bx-by=1

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Solution for ax-ay+bx-by=1 equation:


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

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

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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