Question

8. Which linear system of equations does the matrix represent?

Answer 1

The answer is A

Explanation:

Answer 2

Answer:
`-3x+5y=15\\2x+3y=-10`

Explanation:

`\begin{bmatrix} \left.\begin{matrix}a & b & \\ c & d & \end{matrix}\right|\left.\begin{matrix}m & \\ n & \end{matrix}\end{bmatrix}`

The linear system for above matrix is given by :-

`ax+by=m\\cx+dy=n`

Given matrix :
`\begin{bmatrix} \left.\begin{matrix}-3 & 5& \\ 2 & 3 & \end{matrix}\right|\left.\begin{matrix}15 & \\ -10& \end{matrix}\end{bmatrix}`

Then required linear system will be :

`-3x+5y=15\\2x+3y=-10`

Hence, correct answer is
`-3x+5y=15\\2x+3y=-10`