var('x,fa,fb,fc')
solve ([(43*2.5)==((fb*(5-x))+(fa*5)), (43*(2.5-x))==(fc*(5-x)),
(43*2.5)==((fb*x)+(fc*5)), 43==(fa+fb+fc)], x,fa,fb,fc)


[[x == 0, fa == r10, fb == -r10 + 43/2, fc == (43/2)], [x ==
5/2*(2*r11- 43)/r11,
fa == 0, fb == r11, fc == -r11 + 43]]

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