X - 3y+z = 6

2x - бу - 2 = - 2

-x+y + 2 = 7

x = - 7 1/2

y = - 5/2

z = 11

x = - 7 1/2

y = - 5/2

z = 11

Step-by-step explanation:

x - 3y+z = 6 (1)

2x - бу - 2 = - 2 (2) 2x - 6y = - 2 + 2 = 0 (2x - 6y) / 2 = 0 x - 3y = 0 (4)

-x+y + 2 = 7 (3) - x + y = 7 - 2 x - y = - 5 (5)

Subtract (5) from (4), we have:

(x - 3y) - (x - y) = 0 - (-5)

x - 3y - x + y = 5

-2y = 5

y = - 5/2

Replace y with (4), we have x = 3 * (-5/2) = - 15/2 (or - 7 1/2)

Replace x with - 15/2 and y with - 5/2 in (1), we have z = 6 - (-15/2 - (-5/2)) = 6 + (15/2 - 5/2) = 6 + 5 = 11