7. Systems of Equations & Matrices

In Exercises 29–42, solve each system by the method of your choice. $\begin{cases}x^3 + y = 0 \\x^2 - y = 0\end{cases}$

In Exercises 29–42, solve each system by the method of your choice. $\begin{cases}2x^2 + y^2 = 18 \\xy = 4\end{cases}$

In Exercises 29–42, solve each system by the method of your choice. $\begin{cases}3x^2 + 4y^2 = 16 \\2x^2 - 3y^2 = 5\end{cases}$

In Exercises 19–28, solve each system by the addition method. $\begin{cases}y^2 - x = 4 \\x^2 + y^2 = 4\end{cases}$

In Exercises 19–28, solve each system by the addition method. $\begin{cases}x^2 + y^2 = 25 \\(x - 8)^2 + y^2 = 41\end{cases}$

In Exercises 19–28, solve each system by the addition method. $\begin{cases}3x^2 + 4y^2 - 16 = 0 \\2x^2 - 3y^2 - 5 = 0\end{cases}$

In Exercises 19–28, solve each system by the addition method. $\begin{cases}x^2 - 4y^2 = -7 \\3x^2 + y^2 = 31\end{cases}$

In Exercises 47–52, solve each system by the method of your choice. $\begin{cases}\frac{3}{x^2} + \frac{1}{y^2} = 7 \\\frac{5}{x^2} - \frac{2}{y^2} = -3\end{cases}$

In Exercises 47–52, solve each system by the method of your choice. $\begin{cases}-4x + y = 12 \\y = x^3 + 3x^2\end{cases}$

In Exercises 19–28, solve each system by the addition method. $\begin{cases}x^2 + y^2 = 13 \\x^2 - y^2 = 5\end{cases}$

In Exercises 1–18, solve each system by the substitution method. $\begin{cases}x + y = 1 \\(x - 1)^2 + (y + 2)^2 = 10\end{cases}$

In Exercises 1–18, solve each system by the substitution method. $\begin{cases}x + y = 1 \\x^2 + xy - y^2 = -5\end{cases}$

In Exercises 1–18, solve each system by the substitution method. $\begin{cases}xy = 3 \\x^2 + y^2 = 10\end{cases}$

In Exercises 1–18, solve each system by the substitution method. $\begin{cases}y^2 = x^2 - 9 \\2y = x - 3\end{cases}$

In Exercises 1–18, solve each system by the substitution method. $\begin{cases}xy = 6 \\2x - y = 1\end{cases}$