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### Section 7-5 : Nonlinear Systems

Find the solution to each of the following system of equations.

1. \begin{align*}y & = {x^2} + 6x - 8\\ y & = 4x + 7\end{align*} Solution
2. \begin{align*}y & = 1 - 3x\\ \frac{{{x^2}}}{4} + {y^2} & = 1\end{align*} Solution
3. \begin{align*}xy & = 4\\ \frac{{{x^2}}}{4} + \frac{{{y^2}}}{{25}} & = 1\end{align*} Solution
4. \begin{align*}y & = 1 - 2{x^2}\\ {x^2} - \frac{{{y^2}}}{9} & = 1\end{align*} Solution