System of transcendental equations?

[AerospaceEng]

Homework Statement

I need to find theta (0) and with that I can find W but I am not sure how to I think I am on the right track but I am stumped now and apparently there's a tool on calculators to help you with finding theta rather than guessing. Here are the given equations

0.5T_DAsin0=0
0.866T_DA-W=0
0.5T_DAcos0=50

Homework Equations

The Attempt at a Solution

So i did equation 1 minus equation 3 to eliminate 0.5T.. which gave me

sin0-cos0=-50

Is this the right track? can it even equal -50??

0=Theta when placed beside sin and cos, not zero.

 

[theJorge551]

You used row operations to simplify the system, which is quite all right, but you forgot about the coefficient that was attached to each equation. ;)