91Ó°ÊÓ

Solve each system. $$ \left\\{\begin{array}{r} x+y+z=8 \\ 2 x-y-z=10 \\ x-2 y-3 z=22 \end{array}\right. $$

Solve each system of linear equations using matrices. See Examples 1 through 3. $$ \left\\{\begin{array}{r} x+y+z=2 \\ 2 x-z=5 \\ 3 y+z=2 \end{array}\right. $$

Graph the solutions of each system of linear inequalities $$ \left\\{\begin{array}{r} y+2 x \geq 0 \\ 5 x-3 y \leq 12 \\ y \leq 2 \end{array}\right. $$

If \(y\) varies inversely as \(x\), find the constant of variation and the inverse variation equation for each situation. \(y=100\) when \(x=7\)

If \(y\) varies inversely as \(x\), find the constant of variation and the inverse variation equation for each situation. \(y=63\) when \(x=3\)

Solve each system of linear equations using matrices. See Examples 1 through 3. $$ \left\\{\begin{array}{r} x+2 y+z=5 \\ x-y-z=3 \\ y+z=2 \end{array}\right. $$

Graph the solutions of each system of linear inequalities $$ \left\\{\begin{array}{rr} y+2 x \leq & 0 \\ 5 x+3 y \geq & -2 \\ y \leq & 4 \end{array}\right. $$

Solve each system. $$ \left\\{\begin{aligned} 5 x+y+3 z &=1 \\ x-y+3 z &=-7 \\ -x+y &=1 \end{aligned}\right. $$

If \(y\) varies inversely as \(x\), find the constant of variation and the inverse variation equation for each situation. \(y=\frac{1}{8}\) when \(x=16\)

Solve each system of linear equations using matrices. See Examples 1 through 3. $$ \left\\{\begin{array}{r} 5 x-2 y=27 \\ -3 x+5 y=18 \end{array}\right. $$