In Exercises 5–18, solve each system by the substitution method. y = (1/3)x + 2/3 y = (5/7)x - 2

Solve each system in Exercises 5–18. $\begin{cases} 3(2x + y) + 5z = -1 \\ 2(x - 3y + 4z) = -9 \\ 4(1 + x) = -3(z - 3y) \end{cases}$

Graph each inequality. (x−2)²+(y+1)²<9

Write the partial fraction decomposition of each rational expression. 4x²+13x-9/x (x − 1)(x+3)

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 16–24, write the partial fraction decomposition of each rational expression. (4x^2 - 3x - 4)/x(x + 2)(x - 1)

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

Graph each inequality. y < x² - 1

Write the partial fraction decomposition of each rational expression. 4x² - 7x - 3/(x³ -x)

Find the quadratic function y = ax²+bx+c whose graph passes through the given points. (−1, 6), (1, 4), (2, 9)

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 9–42, write the partial fraction decomposition of each rational expression. (2x² -18x -12)/x³- 4x

In Exercises 19–30, solve each system by the addition method. 2x + 3y = 6 2x - 3y = 6

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

Write the partial fraction decomposition of each rational expression. (6x-11)/(x − 1)²

Graph each inequality. y≥x²−9

Find the quadratic function y = ax²+bx+c whose graph passes through the given points. (−1,−4), (1,−2), (2, 5)

In Exercises 16–24, write the partial fraction decomposition of each rational expression.3x/(x - 2)(x^2 + 1)

In Exercises 16–24, write the partial fraction decomposition of each rational expression. (7x^2 - 7x + 23)/(x - 3)(x^2 + 4)

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

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

Graph each inequality. y>2^x

In Exercises 19–30, solve each system by the addition method. x + 2y = 2 - 4x + 3y = 25

In Exercises 16–24, write the partial fraction decomposition of each rational expression. (4x^3 + 5x^2 + 7x - 1)/(x^2 + x + 1)^2

Graph each inequality. y≥log₂(x+1)

Write the partial fraction decomposition of each rational expression. x²+2x+7/x(x − 1)²

Solve each system by the method of your choice.

$\{\begin{array}{c}5y=x^2-1\\ x-y=1\end{array}$

Solve each system in Exercises 25–26. $\begin{cases} \frac{x + 2}{6} - \frac{y + 4}{3} + \frac{z}{2} = 0 \\ \frac{x + 1}{2} + \frac{y - 1}{2} - \frac{z}{4} = \frac{9}{2} \\ \frac{x - 5}{4} + \frac{y + 1}{3} + \frac{z - 2}{2} = \frac{19}{4} \end{cases}$

In Exercises 19–30, solve each system by the addition method. 4x + 3y = 15 2x - 5y = 1

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