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> **QUESTION**: Solve the differential equation- $$\frac{dx}{dt}+\frac{dy}{dt}+2x+y=0$$ $$\frac{dy}{dt}+5x+3y=0$$
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I am unable to progress in solving these equations. For by any manipulation, I am unable to reduce the $2$ equations to form an equation containing only $2$ variables. Also, I have this doubt that the information is insufficient. 

Am I correct? Please help.