8. Which linear system of equations does the matrix represent?
Answer: [tex]-3x+5y=15\\2x+3y=-10[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix} \left.\begin{matrix}a & b & \\ c & d & \end{matrix}\right|\left.\begin{matrix}m & \\ n & \end{matrix}\end{bmatrix}[/tex]
The linear system for above matrix is given by :-
[tex]ax+by=m\\cx+dy=n[/tex]
Given matrix : [tex]\begin{bmatrix} \left.\begin{matrix}-3 & 5& \\ 2 & 3 & \end{matrix}\right|\left.\begin{matrix}15 & \\ -10& \end{matrix}\end{bmatrix}[/tex]
Then required linear system will be :
[tex]-3x+5y=15\\2x+3y=-10[/tex]
Hence, correct answer is [tex]-3x+5y=15\\2x+3y=-10[/tex]