a(x-y)-b(y-x)=

Solution for a(x-y)-b(y-x)= equation:

Simplifying
a(x + -1y) + -1b(y + -1x) = 0
(x * a + -1y * a) + -1b(y + -1x) = 0
(ax + -1ay) + -1b(y + -1x) = 0

Reorder the terms:
ax + -1ay + -1b(-1x + y) = 0
ax + -1ay + (-1x * -1b + y * -1b) = 0
ax + -1ay + (1bx + -1by) = 0

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

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

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

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

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

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

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

The solution to this equation could not be determined.