91Ó°ÊÓ

In Problems \(1-12\), graph the given inequality. \(x+3 y \geq 6\)

In Problems \(1-26,\) solve the given linear system. State whether the system is consistent, with independent or dependent equations, or whether it is inconsistent. $$ \left\\{\begin{array}{l} 2 x+y=2 \\ 3 x-2 y=-4 \end{array}\right. $$

Find the minor and cofactor determinants for each entry in the given determinant. $$ \left|\begin{array}{rr} 4 & 0 \\ 3 & -2 \end{array}\right| $$

In Problems \(1-10,\) determine graphically whether the given nonlinear system has any real solutions. $$ \left\\{\begin{array}{l} x=5 \\ x=y^{2} \end{array}\right. $$

In Problems 1-8, write out the appropriate form of the partial fraction decomposition of the given rational expression. Do not evaluate the coefficients. $$ \frac{x-1}{x^{2}+x} $$

Graph the given inequality. \(x-y \leq 4\)

Solve the given linear system. State whether the system is consistent, with independent or dependent equations, or whether it is inconsistent. $$ \left\\{\begin{array}{l} 2 x-2 y=1 \\ 3 x+5 y=11 \end{array}\right. $$

Determine graphically whether the given nonlinear system has any real solutions. $$ \left\\{\begin{array}{l} y=3 \\ (x+1)^{2}+y^{2}=10 \end{array}\right. $$

Write out the appropriate form of the partial fraction decomposition of the given rational expression. Do not evaluate the coefficients. $$ \frac{9 x-8}{x^{2}-1} $$

Find the minor and cofactor determinants for each entry in the given determinant. $$ \left|\begin{array}{rr} 6 & -2 \\ 5 & 1 \end{array}\right| $$