lukefrankfort
lukefrankfort lukefrankfort
  • 17-04-2017
  • Mathematics
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!college work! Use the matrices and a calculator to solve the system of equations. -3x+y=-2 x+y=-6

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LammettHash
LammettHash LammettHash
  • 17-04-2017
[tex]\begin{cases}-3x+y=-2\\x+y=-6\end{cases}\iff\begin{bmatrix}-3&1\\1&1\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\-6\end{bmatrix}[/tex]

[tex]\implies\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-3&1\\1&1\end{bmatrix}^{-1}\begin{bmatrix}-2\\-6\end{bmatrix}=\begin{bmatrix}-1\\-5\end{bmatrix}[/tex]
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