Tentukan solusi dari setiap sistem persamaan baeriķut 2x+y=-7 . . .(1) 3z-x=-5 . . .(2) 2y+z=-1 . . .(3)

[tex] \left[\begin{array}{ccc}2&1&0\\-1&0&3\\0&2&1\end{array}\right] [/tex] [tex] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] [/tex] = [tex] \left[\begin{array}{ccc}-7\\-5\\-1\end{array}\right] [/tex]

Δ = 0 + 0 + 0 - 0 - 12 - (-1)
   = -11

[tex] \left[\begin{array}{ccc}-7&1&0\\-5&0&3\\-1&2&1\end{array}\right] [/tex] [tex] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] [/tex] = [tex] \left[\begin{array}{ccc}-7\\-5\\-1\end{array}\right] [/tex]

Δx = 0 + (-3) + 0 - 0 - (-42) - (-5)
     = 44

x = [tex] \frac{Δx}{Δ} [/tex] = [tex] \frac{44}{11} [/tex] = 4

- 2x + y = -7
  2(4) + y = -7
            y = -15

- 2y + z = -1
   2(-15) + z = -1
                z = 29

sehingga x = 4 , y = -15 , z = 29 

semoga bisa membantu :)