91Ó°ÊÓ

write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. $$ \frac{11 x-10}{(x-2)(x+1)} $$

In Exercises \(1-18,\) solve each system by the substitution method. $$ \left\\{\begin{array}{l} x+y=2 \\ y=x^{2}-4 \end{array}\right. $$

determine whether the given ordered pair is a solution of the system. $$ \begin{aligned} &(2,3)\\\ &\left\\{\begin{array}{l} x+3 y=11 \\ x-5 y=-13 \end{array}\right. \end{aligned} $$

Graph each inequality. $$x+2 y \leq 8$$

In Exercises 1–4, determine if the given ordered triple is a solution of the system. $$\begin{aligned} &(2,-1,3)\\\ &\left\\{\begin{array}{rr} x+y+z= & 4 \\ x-2 y-z= & 1 \\ 2 x-y-2 z= & -1 \end{array}\right. \end{aligned}$$

determine whether the given ordered pair is a solution of the system. $$ \begin{aligned} &(-3,5)\\\ &\left\\{\begin{array}{l} 9 x+7 y=8 \\ 8 x-9 y=-69 \end{array}\right. \end{aligned} $$

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

Graph each inequality. $$3 x-6 y \leq 12$$

write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. $$ \frac{5 x+7}{(x-1)(x+3)} $$

Determine if the given ordered triple is a solution of the system. $$\begin{aligned} &(5,-3,-2)\\\ &\left\\{\begin{array}{rr} x+y+z= & 0 \\ x+2 y-3 z= & 5 \\ 3 x+4 y+2 z= & -1 \end{array}\right. \end{aligned}$$