ax-by=cz

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Solution for ax-by=cz equation: 


Simplifying
ax + -1by = cz

Solving
ax + -1by = cz

Solving for variable 'a'.

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

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

Combine like terms: -1by + by = 0
ax + 0 = by + cz
ax = by + cz

Divide each side by 'x'.
a = bx-1y + cx-1z

Simplifying
a = bx-1y + cx-1z

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