91Ó°ÊÓ

Determine the row operation that was used to convert each given augmented matrix into the equivalent augmented matrix that follows it. $$ \left[\begin{array}{rr|r} 3 & 2 & 12 \\ 1 & -1 & -1 \end{array}\right],\left[\begin{array}{rr|r} 1 & -1 & -1 \\ 3 & 2 & 12 \end{array}\right] $$

Graph each pair of equations on a graphing calculator using a window that shows the point of intersection. Use the intersect feature to find the solution. GRAPH CANNOT COPY. $$\begin{aligned}&3 x-2 y=-158\\\&5 x+4 y=1526\end{aligned}$$

Solve each system by the addition method. $$ \begin{aligned} &\frac{1}{4} x+\frac{1}{3} y=5\\\ &x-y=6 \end{aligned} $$

Solve each system. $$\begin{aligned}x+y+z &=9 \\\x+y &=5 \\\z &=1\end{aligned}$$

Determine the row operation that was used to convert each given augmented matrix into the equivalent augmented matrix that follows it. $$ \left[\begin{array}{rr|r} 1 & -1 & -1 \\ 3 & 2 & 12 \end{array}\right],\left[\begin{array}{rr|r} 1 & -1 & -1 \\ 0 & 5 & 15 \end{array}\right] $$

Solve each system by the addition method. $$ \begin{aligned} &\frac{3 x}{2}-\frac{2 y}{3}=10\\\ &\frac{1}{2} x+\frac{1}{2} y=-1 \end{aligned} $$

Solve each system. $$\begin{aligned}x-y+z &=2 \\\y-z &=3 \\\x &=4\end{aligned}$$

Solve each system. $$\begin{array}{r}x-y+2 z=3 \\\2 x+y-z=5 \\\3 x-3 y+6 z=4\end{array}$$

Determine the row operation that was used to convert each given augmented matrix into the equivalent augmented matrix that follows it. $$ \left[\begin{array}{rr|r} 1 & -1 & -1 \\ 0 & 5 & 15 \end{array}\right],\left[\begin{array}{rr|r} 1 & -1 & -1 \\ 0 & 1 & 3 \end{array}\right] $$

Solve each system by the addition method. $$ \begin{aligned} &\frac{x}{4}-\frac{y}{3}=-4\\\ &\frac{x}{8}+\frac{y}{6}=0 \end{aligned} $$