Answer
$x= 3$
$y= 2$
$z = 1$
Work Step by Step
Given:
$x + y - 2z = 3$
$2x + 5z = 11$
$2x + 3y = 12$
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:
$A=\left[\begin{array}{ll}
1 & 1 & -2\\
2 & 0 & 5\\
2 & 3 & 0
\end{array}\right]$
$B=\left[\begin{array}{l}
3\\
11\\
12
\end{array}\right]$
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:
$x= 3$
$y= 2$
$z = 1$
