Question

Which linear system of equations does the matrix represent?

Answer 1

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

Step-by-step 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.

Answer 2

Thank you for posting your question here at brainly. All the values on the left side of the matrix are the x and ys and the right values are what each equation is equal to, therefore:

[-3,5|15] = -3x+5y=15
[2,3|-10] = 2x+3y = -10.

I hope the answer helps.