### Home > PC3 > Chapter 11 > Lesson 11.1.2 > Problem11-29

11-29.

Use a matrix equation to solve the system of equations shown at right.

$\left[ \begin{array} { c c c } { - 4 }&{7}&{-12} \\ { 5 }&{-8}&{0} \\ { 1 }&{-4}&{9} \end{array} \right] \left[ \begin{array} { c} { x } \\ { y }\\ { z } \end{array} \right]=\left[ \begin{array} { c } { -3.8 } \\ { -14.8 }\\ { 7.6 } \end{array} \right]$

$\left. \begin{array} { r } { - 4 x + 7 y - 12 z = - 3.8 } \\ {5 x - 8 y = - 14.8 } \\ { x - 4 y + 9 z = 7.6 } \end{array} \right.$