xa+xb+ay-by=0

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Solution for xa+xb+ay-by=0 equation:


Simplifying
xa + xb + ay + -1by = 0

Reorder the terms:
ax + ay + bx + -1by = 0

Solving
ax + ay + bx + -1by = 0

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 + ay + bx + -1bx + -1by = 0 + -1bx

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

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

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

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

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

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

The solution to this equation could not be determined.

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