3x+2y+2z=3 x+2y-+z=5 2x-4y+z=0

1 answer:

7 0

3x + 2y + 2z = 3 ⇒ 3x + 2y + 2z = 3
1x + 2y - 1z = 5 ⇒ 1x + 2y - 1z = 5
2x - 4y + 1z = 0 4x + 4y + 1z = 8
 4x + 4y + 1z = 8 ⇒ 12x + 12y + 3z = 24
3x + 2y + 2z = 3 3x - 2y = 5 ⇒ 12x - 8y = 20
1x + 2y - 1z = 5 ⇒ 1x + 2y - 1z = 5 20y + 3z = 4
2x - 4y + 1z = 0 ⇒ 2x - 4y + 1z = 0 20y - 20y + 3z = 4 - 20y
 3x - 2y = 5 3z = 4 - 20y
 3 3
 z = 1¹/₃ - 6²/₃y
 20y + 3(1¹/₃ - 6²/₃y) = 4
 20y + 4 - 20y = 4
 20y - 20y + 4 = 4
 0y + 4 = 4
 - 4 - 4
 0y = 0
 0 0
 y = 0
 20(0) + 3z = 4
 0 + 3z = 4
 3z = 4
 3 3
z = 1¹/₃
 4x + 4(0) + 1¹/₃ = 8
 4x + 0 + 1¹/₃ = 8
 4x + 1¹/₃ = 8
 - 1¹/₃ - 1¹/₃
 4x = 6²/₃ 4 4
 x = 1²/₃

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