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Math  /  Algebra

QuestionWrite a system of equations for the vector equation x1[3−37]+x2[60−6]=[4−28]x_{1}\begin{bmatrix} 3 \\ -3 \\ 7 \end{bmatrix} + x_{2}\begin{bmatrix} 6 \\ 0 \\ -6 \end{bmatrix} = \begin{bmatrix} 4 \\ -2 \\ 8 \end{bmatrix}. Choose the correct option.

Studdy Solution
The system of equations equivalent to the given vector equation is3x1+6x2=4−3x1=−2x1−6x2=8\begin{aligned} 3 x_{1}+6 x_{2} & =4 \\ -3 x_{1} & =-2 \\ x_{1}-6 x_{2} & =8\end{aligned} This corresponds to option B in the given choices.

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