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

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


Simplifying
a(x + -1y) + -1b(x + -1y) = 0
(x * a + -1y * a) + -1b(x + -1y) = 0
(ax + -1ay) + -1b(x + -1y) = 0
ax + -1ay + (x * -1b + -1y * -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 'bx' to each side of the equation.
ax + -1ay + -1bx + bx + 1by = 0 + bx

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

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

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

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

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

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

The solution to this equation could not be determined.

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