If the solution of the system of simultaneous linear equations x+y-z=6,3 x+2 y-z=5 and 2 x-y-2 z+3=0 is x= , y= , z= , then + =

Step-by-step solution

System of equations x+y-z=6 3 x+2 y-z=5 2 x-y-2 z=-3 Augumented matrix [A: B]= [ array ccc|c 1 & 1 & -1 & 6 3 & 2 & -1 & 5 2 & -1 & -2 & -3 array ]R₂ R₂-3 R₁, R₃ R₃-2 R₁[ A : B ]= [ array ccc|c 1 & 1 & -1 & 6 0 & -1 & 2 & -13 0 & -3 & 0 & -15 array ]R₃ R₃-3 R₂[A: B]= [ array ccc|c 1 & 1 & -1 & 6 0 & -1 & 2 & -13 0 & 0 & -6 & 24 array ] -6 z=24 z=-4 -y+2 z=-13 y=5= +y-z=6 x=-3= + =5-3=2