Match each step with step-by-step description of how you would solve the system. $\left( \begin{array} { c } 2 x - y + 3 z = 24 \\x - 2 y - z = 1 \\3 x + 5 y + 8 z = 47\end{array} \right)$
-Finding D , D_x , D_y , D_z . D = 22, D_x = 88, D_y = -22, D_z = 110

Question

Match each step with step-by-step description of how you would solve the system.

\left( \begin{array} { c } 2 x - y + 3 z = 24 \\x - 2 y - z = 1 \\3 x + 5 y + 8 z = 47\end{array} \right)

-Finding D , D_x , D_y , D_z . D = 22, D_x = 88, D_y = -22, D_z = 110

Quizplus · Accepted Answer

BThe first step (A) involves calculating the determinant $D$ of the coefficient matrix of the system of equations, which is essential for applying Cramer's Rule. The second step (B) involves calculating the determinants $D_x$, $D_y$, and $D_z$ by replacing the respective columns in the coefficient matrix with the constants from the equations' right-hand sides, which is necessary to find the values of $x$, $y$, and $z$ using Cramer's Rule.

Match Each Step with Step-By-Step Description of How You Would (2x−y+3z=24x−2y−z=13x+5y+8z=47)\left( \begin{array} { c } 2 x - y + 3 z = 24 \\x - 2 y - z = 1 \\3 x + 5 y + 8 z = 47\end{array} \right)​2x−y+3z=24x−2y−z=13x+5y+8z=47​​

Match Each Step with Step-By-Step Description of How You Would $\left( \begin{array} { c } 2 x - y + 3 z = 24 \\x - 2 y - z = 1 \\3 x + 5 y + 8 z = 47\end{array} \right)$