I'm having trouble understanding how to apply matrix to systems of equations.
Here's the problem I need help with. This must be solved using matrices.
$$3x + 5y = -4\\ x + 2y = -2$$
2026-04-19 04:00:21.1776571221
System of Equations: $3x + 5y = -4$, $x + 2y = -2$
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So you have $$\left(\begin{matrix}3&5\\1&2\end{matrix}\right)\left(\begin{matrix}x\\y\end{matrix}\right)=\left(\begin{matrix}-4\\-2\end{matrix}\right)$$
$$\implies\left(\begin{matrix}x\\y\end{matrix}\right)=\left(\begin{matrix}3&5\\1&2\end{matrix}\right)^{-1}\left(\begin{matrix}-4\\-2\end{matrix}\right)$$
$$=\left(\begin{matrix}2&-5\\-1&3\end{matrix}\right)\left(\begin{matrix}-4\\-2\end{matrix}\right)$$
$$=\left(\begin{matrix}2\\-2\end{matrix}\right)$$