91Ó°ÊÓ

Use Cramer's rule to find the solution set for each system. If the equations are dependent, simply indicate that there are infinitely many solutions. \(\left(\begin{array}{l}9 x-y=-2 \\ 8 x+y=4\end{array}\right)\)

Solve each system by using the substitution method. \(\left(\begin{array}{l}x=3 y-25 \\ 4 x+5 y=19\end{array}\right)\)

Find the partial fraction decomposition for each rational expression. See answers below. \(\frac{-3 x+1}{(x+1)^{2}}\)

Use a matrix approach to solve each system. \(\left(\begin{array}{r}x+5 y=-18 \\ -2 x+3 y=-16\end{array}\right)\)

Use Cramer's rule to find the solution set for each system. If the equations are dependent, simply indicate that there are infinitely many solutions. \(\left(\begin{array}{l}6 x-5 y=1 \\ 4 x-7 y=2\end{array}\right)\)

Solve each system by using the substitution method. \(\left(\begin{array}{l}x=3 y-25 \\ 4 x+5 y=19\end{array}\right)\)

Use a matrix approach to solve each system. \(\left(\begin{array}{rl}3 x-4 y & =33 \\ x+7 y & =-39\end{array}\right)\)

For Problems 13-28, evaluate each \(3 \times 3\) determinant. Use the properties of determinants to your advantage. \(\left|\begin{array}{rrr}1 & 2 & -1 \\ 3 & 1 & 2 \\ 2 & 4 & 3\end{array}\right|\)

Find the partial fraction decomposition for each rational expression. See answers below. \(\frac{-6 x^{2}+19 x+21}{x^{2}(x+3)}\)

Use Cramer's rule to find the solution set for each system. If the equations are dependent, simply indicate that there are infinitely many solutions. \(\left(\begin{array}{c}-\frac{2}{3} x+\frac{1}{2} y=-7 \\ \frac{1}{3} x-\frac{3}{2} y=6\end{array}\right)\)