Use matrices to find the y -coordinate of the solution of the following system. $\left\{ \begin{array} { l }
x - 2 y = 26 \
3 x - y = 33
\end{array} \right.$
A) y=-9
B) y=9
C) y=8
D) y=-8

Question

Use matrices to find the y -coordinate of the solution of the following system. $\left\{ \begin{array} { l } 
x - 2 y = 26 \
3 x - y = 33
\end{array} \right.$
A) y=-9
B) y=9
C) y=8
D) y=-8

Quizplus · Accepted Answer

To solve the system using matrices, we can write it in matrix form as AX = B, where A = $\begin{bmatrix} 1 & -2 \ 3 & -1 \end{bmatrix}$, X = $\begin{bmatrix} x \ y \end{bmatrix}$, and B = $\begin{bmatrix} 26 \ 33 \end{bmatrix}$. Solving for X using the inverse of A, we find that y = -9.

Use Matrices to Find the Y -Coordinate of the Solution {x−2y=263x−y=33\left\{ \begin{array} { l } x - 2 y = 26 \\3 x - y = 33\end{array} \right.{x−2y=263x−y=33​

Use Matrices to Find the Y -Coordinate of the Solution $\left\{ \begin{array} { l } x - 2 y = 26 \\3 x - y = 33\end{array} \right.$