simultaneous equation help Can someone help me with to solve this system of equations ?
$$
\left\{ 
\begin{array}{c} 
y=x+1 \\
y^2+2x^2=2
\end{array}
\right.
$$

$$\begin{cases} y=x+1 \\ { y }^{ 2 }+2{ x }^{ 2 }=2 \end{cases}\Rightarrow \begin{cases} y=x+1 \\ { \left( x+1 \right)  }^{ 2 }+2{ x }^{ 2 }=2 \end{cases}\Rightarrow 3{ x }^{ 2 }+2x-1=0\quad \Rightarrow x=\frac { -1\pm 2 }{ 3 } ,y=1+\frac { -1\pm 2 }{ 3 } \\ $$
