ax+by=z

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Solution for ax+by=z equation: 


Simplifying
ax + by = z

Solving
ax + by = z

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.
ax + by + -1by = -1by + z

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

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

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

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