9x+2y-27z=-155 - 11x-y+37z=208 19x+6y-52z=-304

(x, y, z) = (-2, - 1,5)

Step-by-step explanation:

9x+2y-27z=-155 (1)

-11x-y+37z=208 (2)

19x+6y-52z=-304 (3)

(1) * 3; (2) * 6; (3) * 1, you have

27x+6y-81z=-465 (1)

-66x-6y+222z=1248 (2)

19z+6y-52z=-304 (3)

(1) + (2), you have

-39x+141z = 783 (4)

(4) / 3, you have

-13x + 47z=261 (4)

(2) + (3), you have

-47x+170z=944 (5)

From (4) and (5), you have equations

-13x + 47z=261 (4)

-47x+170z=944 (5)

(4) * (-47); (5) * 13, you have

611x-2209z=-12,267 (4)

-611x+2210z=12,272 (5)

(4) + (5), you have

z=5

Replace z=5 in (4), you have

611x - 2209*5=-12,267

611x - 11,045 = -12,267

611x=-1222

x = - 2

Replace x=-2, z=5 in (1), you have

9 * (-2) + 2y - 27*5=-155

-18+2y-135=-155

-18+2y=-20

2y=-2

y=-1

Result (x, y, z) = (-2, - 1,5)