Tentukan nilai x dan y pada system persamaan linear 5x – 2y = 4 dan 2x – y = 7 menggunakan metode invers matriks!

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tolong dong ╥﹏╥​

Tentukan nilai x dan y pada system persamaan linear 5x – 2y = 4 dan 2x – y = 7 menggunakan metode invers matriks!

Jawab:

(x,y) = (-10,-27)

Penjelasan dengan langkah-langkah:

5x – 2y = 4

2x – y = 7

left[begin{array}{ccc}5&-2\2&-1\end{array}right] left[begin{array}{ccc}x\y\end{array}right]=left[begin{array}{ccc}4\7\end{array}right]\\left[begin{array}{ccc}x\y\end{array}right]=left[begin{array}{ccc}5&-2\2&-1\end{array}right]^{-1}left[begin{array}{ccc}4\7\end{array}right]\\left[begin{array}{ccc}x\y\end{array}right]=frac1{-5+4}left[begin{array}{ccc}-1&2\-2&5\end{array}right]left[begin{array}{ccc}4\7\end{array}right]\

left[begin{array}{ccc}x\y\end{array}right]=frac1{-1}left[begin{array}{ccc}-1&2\-2&5\end{array}right]left[begin{array}{ccc}4\7\end{array}right]\\left[begin{array}{ccc}x\y\end{array}right]=-1left[begin{array}{ccc}10\27\end{array}right]\\left[begin{array}{ccc}x\y\end{array}right]=left[begin{array}{ccc}-10\-27\end{array}right]\\\(x,y)=(-10,-27)