Yeremibatismart7295 Yeremibatismart7295

07-12-2017
Mathematics

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Find the ordered triple of these equations. x + 2y + 2z = 02x + y + z = 3x - 3y - z = 1

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vunderkid vunderkid

07-12-2017

{x+2y+2z=0
{2x+y+z=3
{x-3y-z=1

{x+2y+2z=0
-
{4x+2y+2z=6
{-3x=-6 → x=2

{-3y-z=-1
+
{y+z=-1
{-2y=-2 → y=1

{2+2+2z=0 → 2z=-4 → z=-2
Final triple is
(2; 1; -2)

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