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Choose the value of the y determinant (Dy) in the following system. 2x – 4y = 24 2x – 3y = 15
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\[ \begin{bmatrix} 2&-4\\ 2&-3 \end{bmatrix} \begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix} 24\\15 \end{bmatrix} \]
To get the \(y\) determinant, first swap the \(y\) column with the product column\[ \begin{bmatrix} 2&24\\ 2&15 \end{bmatrix} \]
Then find the determinant.
\[ 2(15)-2(24) \]
the choices are -132, -12, -18, and 78
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-18 is the answer
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