The solution of the linear system of equations 2 2 3 7 1 1 0 6 5 x y z = 3 y + 11 6 z - 1 5 y + 11 + x x 4 z + z 3 x 4 y is

Step-by-step solution

It is given that 2 2 3 7 1 1 0 6 5 x y z = 3 y + 11 6 z - 1 5 y + 11 + x x 4 z + z 3 x 4 y Solve the above matrix 2 x + 2 y + 3 z 7 x + y + z 6 y + 5 z = 3 y + x + z + 11 3 x + x + 6 z - 1 5 y + 4 y + 4 z + 11 2 x + 2 y + 3 z 7 x + y + z 6 y + 5 z = x + 3 y + z + 11 4 x + 6 z - 1 9 y + 4 z + 11 On comparing x - y + 2   z = 11 ⇒ 3 x + y - 5 z = - 1 ⇒ - 3   y + z = 11 From the above three equations x = 4 ,   y = - 3 ,   z = 2