ax+by+c=z

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Solution for ax+by+c=z equation:


Simplifying
ax + by + c = z

Solving
ax + by + c = 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 + c = -1by + z

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

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

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

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

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

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