Solve each system of equation algebraicallyy=x+2y=-3x

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[tex] \left \{ {{y=x+2} \atop {y=-3x}} \right. \ =\ \textgreater \ \ \left \{ {{-3x=x+2} \atop {y=x+2}} \right. \ =\ \textgreater \ \ \left \{ {{y=2- \frac{1}{2}} \atop {x=- \frac{1}{2}}} \right. \ =\ \textgreater \ \ \left \{ {{y= \frac{3}{2}} \atop {x=- \frac{1}{2}}} \right. [/tex]