Solve the system of equations.4x + 3y + z= -6x-3y + 2z=011x-2y + 3z = - 26

Answer: y= - 271/71x=755/71z =4866/71Step-by-step explanation:For resolve a system you multiply an equation of the system or add two of the equation and replace the result in the system                                                      Add the 1st and 2nd, and replace the 2nd4x + 3y + z= -6         4x + 3y + z= -6          4x + 3y + z= -6 (-4) (x-3y + 2z=0 ) → -4x +12y -8z =0      →       +15y -7z = -611x-2y + 3z = - 26    11x-2y + 3z = - 26       11x-2y + 3z = - 26                                                       Add the 2nd and 1st, and replace the 1st4x + 3y + z= -6          4x + 3y + z= -6                    4x  + z= -6 (-1/5)( 15y -7z = -6) →  -3y -7/5z =6/5      →       -3y -7/5z =6/511x-2y + 3z = - 26     11x-2y + 3z = - 26           11x-2y + 3z = - 26                                                       Add the1st and 3rd, and replace the 3erd(-3)( 4x  + z= -6)          -12x - 3z= 18                    -12x - 3z= 18 -3y -7/5z =6/5      →  -3y -7/5z =6/5      →       -3y -7/5z =6/511x-2y + 3z = - 26      11x-2y + 3z = - 26           -x-2y  = - 8                                                        Add the1st and 3rd, and replace the 1st(1/3)(-12x - 3z= 18 )     -4x - z= 6                 -4x - z= 6(5)(-3y -7/5z =6/5) →  -15y - 7z = 6        → -15y - 7z = 6 -x-2y  = - 8               (-4)(-x-2y  = - 8)         4x + 8y= 32                           Add the 1st and 2nd, and replace the 2nd(-7)(8y - z =38)        -56y +7z= 266     -56y +7z= 266 -15y - 7z = 6     →     -15y - 7z = 6  →      -71y=271 → y= - 271/71(1/4)(4x + 8y= 12)       x+2y=3                 x+2y=3 -56y +7z= 266 → -8y + z =38 → z =4866/71x+2y=3 → x=755/71