Ax+but=c

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Solution for Ax+but=c equation: 


Simplifying
Ax + but = c

Reorder the terms:
btu + xA = c

Solving
btu + xA = c

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.
btu + xA + -1xA = c + -1xA

Combine like terms: xA + -1xA = 0
btu + 0 = c + -1xA
btu = c + -1xA

Divide each side by 'tu'.
b = ct-1u-1 + -1t-1u-1xA

Simplifying
b = ct-1u-1 + -1t-1u-1xA

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