Solve each system in Exercises 25–26. $\begin{cases} \frac{x + 3}{2} - \frac{y - 1}{2} + \frac{z + 2}{4} = \frac{3}{2} \\ \frac{x - 5}{2} + \frac{y + 1}{3} - \frac{z}{4} = - \frac{25}{6} \\ \frac{x - 3}{4} - \frac{y + 1}{2} + \frac{z - 3}{2} = - \frac{5}{2} \end{cases}$

In Exercises 25–35, solve each system by the method of your choice. This is a piecewise function, refer to textbook problem.

In Exercises 19–30, solve each system by the addition method. 3x - 4y = 11 2x + 3y = - 4

Graph the solution set of each system of inequalities or indicate that the system has no solution.

$\begin{cases} 3x + 6y \leq 6 \\ 2x + y \leq 8 \end{cases}$

Write the partial fraction decomposition of each rational expression. x²/(x − 1)² (x + 1)

In Exercises 25–35, solve each system by the method of your choice. This is a piecewise function, refer to textbook problem.

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

Write the partial fraction decomposition of each rational expression. 5x² -6x+7/(x − 1) (x² + 1)

Graph the solution set of each system of inequalities or indicate that the system has no solution.

$\begin{cases} 2x - 5y \leq 10 \\ 3x - 2y > 6 \end{cases}$

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 19–30, solve each system by the addition method. 3x = 4y + 1 3y = 1 - 4x

In Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. x = 9-2y x + 2y = 13

Write the partial fraction decomposition of each rational expression. 5x²+6x+3/(x + 1)(x² + 2x + 2)

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

Graph the solution set of each system of inequalities or indicate that the system has no solution.

$\begin{cases} y > 2x - 3 \\ y < -x + 6 \end{cases}$

In Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. y = 3x - 5 21x - 35 = 7y

Write the partial fraction decomposition of each rational expression. x+4/x² (x²+4)

In Exercises 29–42, solve each system by the method of your choice. $\begin{cases} x^2 + 4y^2 = 20 \\ x + 2y = 6 \end{cases}$

Graph the solution set of each system of inequalities or indicate that the system has no solution.

$\begin{cases} x + 2y \leq 4 \\ y \geq x - 3 \end{cases}$

Write the partial fraction decomposition of each rational expression. 6x²-x+1/(x³ + x² + x +1)

In Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 3x - 2y = − 5 4x + y = 8

Graph the solution set of each system of inequalities or indicate that the system has no solution.

$\begin{cases} x \leq 2 \\ y \geq -1 \end{cases}$

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

The perimeter of a rectangle is 26 meters and its area is 40 square meters. Find its dimensions.

Graph the solution set of each system of inequalities or indicate that the system has no solution. −2≤x<5

Write the partial fraction decomposition of each rational expression. $\frac{x^3 + x^2 + 2}{(x^2 + 2)^2}$

In Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. x + 3y = 2 3x + 9y = 6

In Exercises 29–42, solve each system by the method of your choice. $\begin{cases} x^2 + (y - 2)^2 = 4 \\ x^2 - 2y = 0 \end{cases}$

Write the partial fraction decomposition of each rational expression. (x³-4x²+9x-5)/(x² -2x+3)²

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