Equilibrium by components

a 1100N mass is suspended from a string which is supported by two poles. One side makes an angle of 70 degrees with the vertical and the other side makes an angle of 80 degrees. Find the two tensions using components.

First I say that T1sin70-T2sin80=0 bcause the x forces have to be equal, otherwise the object would sway. Secondly I saw that T1cos70+T2cos80-1100=0 because the vertical components pushing upwards must equal the weight pulling downwards in order for the system to be in equilibrium. But now I do not know what to do after i get T1cos70+T2cos80=1100.
You got 2 equations and 2 unknowns. Solve for a variable in one equation and plug it into the other

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