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Mathematics
20 April, 06:15
9x+2y-27z=-155 - 11x-y+37z=208 19x+6y-52z=-304
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Dominique Lamb
20 April, 06:22
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(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)
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