Answer
$x= 6$
$y= 12$
$z = 24$
Work Step by Step
Given:
$x + 0.5y - 1/3z = 4$
$x - 0.25y + 1/6z = 7$
$x + y - z = -6$
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:
$A=\left[\begin{array}{ll}
1 & 0.5 & -1/3\\
1 & -0.25 & 1/6\\
1 & 1 & -1
\end{array}\right]$
$B=\left[\begin{array}{l}
4\\
7\\
-6
\end{array}\right]$
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:
$x= 6$
$y= 12$
$z = 24$
