Answer
$x= -1$
$y= 2$
$z = 3$
Work Step by Step
Given:
$3x + 4y - z = 2$
$2x - 3y + z = -5$
$5x - 2y + 2z = -3$
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:
$A=\left[\begin{array}{ll}
3 & 4 & -1\\
2 & -3 & 1\\
5 & -2 & 2
\end{array}\right]$
$B=\left[\begin{array}{l}
2\\
5\\
-3
\end{array}\right]$
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:
$x= -1$
$y= 2$
$z = 3$
