az+by=cx

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Solution for az+by=cx equation: 


Simplifying
az + by = cx

Solving
az + by = cx

Solving for variable 'a'.

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

Add '-1by' to each side of the equation.
az + by + -1by = -1by + cx

Combine like terms: by + -1by = 0
az + 0 = -1by + cx
az = -1by + cx

Divide each side by 'z'.
a = -1byz-1 + cxz-1

Simplifying
a = -1byz-1 + cxz-1

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