ax+cy=bx-dy

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Solution for ax+cy=bx-dy equation: 


Simplifying
ax + cy = bx + -1dy

Solving
ax + cy = bx + -1dy

Solving for variable 'a'.

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

Add '-1cy' to each side of the equation.
ax + cy + -1cy = bx + -1cy + -1dy

Combine like terms: cy + -1cy = 0
ax + 0 = bx + -1cy + -1dy
ax = bx + -1cy + -1dy

Divide each side by 'x'.
a = b + -1cx-1y + -1dx-1y

Simplifying
a = b + -1cx-1y + -1dx-1y

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