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## Homework Statement

I'm having a hard time finding the support reactions [tex] R_{fx} ; R_{fy} ; R_{kx} ; R_{ky} [/tex] in this truss.

2. The attempt at a solution

2. The attempt at a solution

I got four equations using the equilibrium conditions (sum of forces along x and y ; sum of moments on F and on C) but the system doesn't seem to have a solution. Am i missing something?

[tex]

(\Sigma x = 0) R_{fx} + R_{ky} = 0 \\

(\Sigma y = 0) R_{fy} + R_{ky} = 530 \\

(\Sigma M_{f} = 0) -8R_{kx} + 40R_{ky} = 11100 \\

(\Sigma M_{c} = 0) -20R_{fx} + 20R_{fy} -12 R_{kx} - 20R_{ky} = -500

[/tex]

Thanks!