Chapter A1, Problem 57PE

For Exercises 49-58, solve the system by using Cramer’s rule, if possible. Otherwise, use another method. If a system does not have a unique solution, determine the number of solutions and whether the system is inconsistent or the equations are dependent. (See Example 8.)

57. $\begin{array}{l}x+y+8z=3\\ 2x+y+11z=4\\ x+3z=0\end{array}$

Example 8

Analyzing a Dependent System of Equations Solve the system by using Cramer’s rule if possible. $\begin{array}{c}2x-3y=6\\ -6x+9y=-18\end{array}$