The matrix represents the system:
-3x+5y=15
2x+3y=-10, which is choice c.
We can see it more clearly from the way we multiply matrices, as follows:
[tex] \[
\left[ {\begin{array}{cc}
-3 & 5 \\
\ 2 & 3 \\
\end{array} } \right]
\] \cdot \[
\left[ {\begin{array}{c}
x \\
y \\
\end{array} } \right]
\]= \left[ {\begin{array}{c}
-3\cdot x+5\cdot y \\
2\cdot x+3\cdot y \\
\end{array} } \right]
\]= \[ \left[ {\begin{array}{c} 15 \\ -10 \\ \end{array} } \right] \][/tex]
Answer: C
