[tex]\left[\begin{array}{c}x\\y\end{array}\right] '=\left[\begin{array}{cc}7&-10\\2&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}8&-4e^{-3t}\\\end{array}\right]\\[/tex]

I have been struggling with trying to find the solution to this non-homogenous first order differential equation. could somebody please provide me with a detailed explanation? Should I understand how to do it afterwards, I will award you brainliest.

Thank you!