Rigid Body Static Equilibrium. Find force components

[sharp12]

Homework Statement

Pin C joins members ABC and CDE

Homework Equations

Sum of moments at a point = 0
Sum of vertical forces = 0
Sum of horizontal forces = 0

Weight of triangle acts as a force at its centroid (1/3) its length according to this figure.

The Attempt at a Solution

See pictures.

I get 2 equations with 3 unknowns.

10By + 22.5Dy = 77500
Ay + By + Dy = 7500

Any advice what to do next?

 

[sharp12]

Since it says Pin C joins members ABC and CDE, does that mean I can take each part and sum forces to zero?

Such that working with CDE Dy = 1500 allowing me to decouple the other two equations.

Just a thought. Not sure.