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Nonlinear systems of equations I (5:44) Solve the system of equations by graphing. Check your solution algebraically.
$\begin{cases} y = x^2 + 6\\y = -2x – 2\end{cases}$
Solutions: $(-2,2)$ and $(4, -10)$ -
$\begin{cases} y = \frac{1}{2}x \\2x^2 – y^2 = 7\end{cases}$. Solutions: $x = 2$ or $x = -2$ giving points $(2,1)$ and $(-2,-1)$, both of which satisfy both constraint equations.
Find the solution(s) of the system of equations
$\begin{cases} y = x +1 \\x^2 + y^2 = 25\end{cases}$ Solutions: $(-4,-3)$ and $(4,3)$- There are also more videos under “Quadratics” — see Systems of Quadratic Equations
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