To solve the matrix equation
[tex]\[
\begin{array}{l}
\left[\begin{array}{ccc}
4 & 2 & -1 \\
1 & 1 & -1 \\
-3 & -1 & 1
\end{array}\right]\left[\begin{array}{l}
x \\
y \\
z
\end{array}\right]=\left[\begin{array}{c}
15 \\
-10 \\
60
\end{array}\right]
\end{array}
\][/tex]
we need to find the values of [tex]\( x \)[/tex], [tex]\( y \)[/tex], and [tex]\( z \)[/tex] that satisfy this system of linear equations. The solution to this system is:
[tex]\[
x = -25
\][/tex]
[tex]\[
y = 100
\][/tex]
[tex]\[
z = 85
\][/tex]
