Quadratic Simultaneous Equations by Boxed Rockets

\begin{matrix} y = x^{2} - 3 x + 7 \\ y = x + 3 \end{matrix}

\begin{matrix} x = 2 \\ y = 5 \end{matrix}

\begin{matrix} y = 3 x^{2} - x + 1 \\ y = x + 2 \end{matrix}

\begin{matrix} x = 1 or -0.333 \\ y = 3 or 1.667 \end{matrix}

\begin{matrix} y = 3 x^{2} - 14 x - 3 \\ y = x + 6 \end{matrix}

\begin{matrix} x = 5.54 or -0.541 \\ y = 11.54 or 5.459 \end{matrix}

\begin{matrix} y = x^{2} - 10 x + 10 \\ y = 3 x + 4 \end{matrix}

\begin{matrix} x = 12.5 or 0.479 \\ y = 41.5 or 5.437 \end{matrix}

\begin{matrix} y = 2 x^{2} - x - 9 \\ y = 3 x - 6 \end{matrix}

\begin{matrix} x = 2.58 or -0.581 \\ y = 1.74 or -7.743 \end{matrix}

\begin{matrix} y = x^{2} + 3 x - 10 \\ y = 2 x - 8 \end{matrix}

\begin{matrix} x = 1 or -2 \\ y = -6 or -12 \end{matrix}