tentukan bayangan garis 2x+4y= 6jika di transformasikan oleh matriks (-2 5 -1 3)

[tex] \left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}-2&5\\-1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] [/tex]
[tex] \left[\begin{array}{ccc}-2&5\\-1&3\end{array}\right]^{-1} \left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3&-5\\1&-2\end{array}\right] \left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3x'&-5y'\\x'&-2y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex]

                     2x + 4y = 6
2(3x - 5y) + 4(x - 2y) = 6
      6x -10y + 4x - 8y = 6
                  10x - 18y = 6

semoga bisa bermanfaat