10. X - 2Y = 2 dan X + 2Y = 2 persamaan linear dua variabel menggunakan metode matriks.

jawab

x - 2y = 2
x + 2y = 2

[tex] \left[\begin{array}{ccc}1&-2\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] \, = \left[\begin{array}{ccc}2\\2\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}x\\y\end{array}\right] \, = \frac{1}{1(2)-1(-2) } \left[\begin{array}{ccc}2&2\\-1&1\end{array}\right] \left[\begin{array}{ccc}2\\2\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}x\\y\end{array}\right] \, = \frac{1}{4 }\left[\begin{array}{ccc}8\\0\end{array}\right][/tex]


[tex]\left[\begin{array}{ccc}x\\y\end{array}\right] \, =\left[\begin{array}{ccc}2\\0\end{array}\right][/tex]

x = 2 , y= 0