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\(\end{cases}\)$