Question

Which linear system of equations does the matrix represent?

Answer 1

Option B is correct.

Answer 2

Answer: Option B is the correct option.The matrix represents the 4x-7y=-12 and -14x+4y=4 linear system of equations.

Explanation:

The given augumented matrix can be written as AX=B where X is our variable matrix with variables x and y.

`\begin{bmatrix}4 &-7 \\ -14 &4 \end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-12\\ 4\end{bmatrix}\\\\\Rightarrow\ \begin{bmatrix}4x -7 y\\ -14x +4y \end{bmatrix}=\begin{bmatrix}-12\\ 4\end{bmatrix}`

Comparing corresponding elements in equal matrices, we get

⇒4x-7y=-12

-14x+4y=4

Therefore the matrix represents the 4x-7y=-12 and -14x+4y=4 linear system of equations.