Fy+Ax=J

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Solution for Fy+Ax=J equation: 


Simplifying
Fy + Ax = J

Reorder the terms:
xA + yF = J

Solving
xA + yF = J

Solving for variable 'x'.

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

Add '-1yF' to each side of the equation.
xA + yF + -1yF = J + -1yF

Combine like terms: yF + -1yF = 0
xA + 0 = J + -1yF
xA = J + -1yF

Divide each side by 'A'.
x = A-1J + -1yA-1F

Simplifying
x = A-1J + -1yA-1F

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