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The solution to the system of equations \(\begin{bmatrix}2 & 5\\ -4 & 3\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}2\\ -30\end{bmatrix}\) is

1. 6, 2
2. -6, 2
3. -6, -2
4. 6, -2

Correct answer: 6, -2

Solution

The matrix equation gives the system \(2x+5y=2\) and \(-4x+3y=-30\). Solving these simultaneously yields \(x=6\) and \(y=-2\).

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