Answer
$x= 3$
$y= -2$
$z = 2$
Work Step by Step
Given:
$12x + 0.5y - 7z = 21$
$11x - 2y + 3z = 43$
$13x + y - 4z = 29$
The question asks for a graphing calculator to solve the system of equations. The calculations were done on desmos.com/matrix
Convert the linear system into a matrix equation.
Below shows A and B as a matrix equation from the linear system:
$A=\left[\begin{array}{ll}
12 & 0.5 & -7\\
11 & -2 & 3\\
13 & 1 & -4
\end{array}\right]$
$B=\left[\begin{array}{l}
21\\
43\\
29
\end{array}\right]$
Then the calculator finds the inverse of A (see $A^{-1}$ below)
To determine matrix X, the solution, multiply the inverse of A by B (see $A^{-1}B$ below)
The answers are below:
$x= 3$
$y= -2$
$z = 2$
