Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

$$\left\{\begin{array}{l}{3 x-2 y+2 z=6} \\ {7 x-3 y+2 z=-1} \\ {2 x-3 y+4 z=0}\end{array}\right.$$

Multiply. Write the answer in simplest form.

$$6 \frac{2}{3} \times \frac{3}{10}$$

Add or subtract. Write each answer in simplest form.

$$\frac{7}{10}-\frac{1}{6}$$

Solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent.

$$\left\{\begin{array}{l}{3 x+2 y-8 z=-3} \\ {-x-\frac{2}{3} y+z=1} \\ {6 x-3 y+15 z=8}\end{array}\right.$$

Solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent.

$$\left\{\begin{array}{l}{3 x+2 y-8 z=-3} \\ {-x-\frac{2}{3} y+z=1} \\ {6 x-3 y+15 z=8}\end{array}\right.$$

Solve the system of equations. If the system has no solution, say that it is inconsistent.

$$\left\{\begin{array}{l}\frac{1}{2} x+\frac{1}{3} y=3 \\ \frac{1}{4} x-\frac{2}{3} y=-1\end{array}\right.$$

Find a general solution of the system or show that it is inconsistent.

$$\begin{aligned} 2 x_{1}-3 x_{3} &=1 \\ x_{1}-x_{2}+x_{3} &=1 \\ 2 x_{1}-4 x_{2}+x_{3} &=2 \end{aligned}$$

In Exercise, perform the operation and write the result in standard form.

$10 i-(3+\sqrt{-25})$

Add or subtract. Write each answer in simplest form.

$$\frac{3}{10}+\frac{2}{5}$$

Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

$$\left\{\begin{array}{r}{3 x+y-z=\frac{2}{3}} \\ {2 x-y+z=1} \\ {4 x+2 y=\frac{8}{3}}\end{array}\right.$$

Solve each system of equations algebraically using the method of substitution or the method of elimination. If the system has no solution, say it is inconsistent. $$ \left\{\begin{array}{rill} x & -4y& +3z & =-15\\ -3x & +y & -5z & =-5 \\ -7x & -5y &-9z &=10 \end{array}\right. $$

Evaluate the system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent.

$$\left\{\begin{array}{rr}x-y+2 z= & 5 \\ 3 x+4 y-z= & 2 \\ 5 x+2 y+3 z= & 8\end{array}\right.$$

Find the product. Write in simplest form.

$$\frac { 5 } { 10 } \cdot \frac { 2 } { 9 }$$

Find the product. Write in simplest form.

$$-\frac{6}{10}\cdot - \frac{1}{8}$$