Ax+by+Cz=12

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Solution for Ax+by+Cz=12 equation:


Simplifying
Ax + by + Cz = 12

Reorder the terms:
by + xA + zC = 12

Solving
by + xA + zC = 12

Solving for variable 'b'.

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

Add '-1xA' to each side of the equation.
by + xA + -1xA + zC = 12 + -1xA

Combine like terms: xA + -1xA = 0
by + 0 + zC = 12 + -1xA
by + zC = 12 + -1xA

Add '-1zC' to each side of the equation.
by + zC + -1zC = 12 + -1xA + -1zC

Combine like terms: zC + -1zC = 0
by + 0 = 12 + -1xA + -1zC
by = 12 + -1xA + -1zC

Divide each side by 'y'.
b = 12y-1 + -1xy-1A + -1y-1zC

Simplifying
b = 12y-1 + -1xy-1A + -1y-1zC

Reorder the terms:
b = -1xy-1A + 12y-1 + -1y-1zC

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