Uax+but=c

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Solution for Uax+but=c equation: 


Simplifying
Uax + but = c

Solving
axU + btu = c

Solving for variable 'a'.

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

Add '-1btu' to each side of the equation.
axU + btu + -1btu = -1btu + c

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

Divide each side by 'xU'.
a = -1btux-1U-1 + cx-1U-1

Simplifying
a = -1btux-1U-1 + cx-1U-1

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