Elimination

1 answer:

4 0

2x - 4y + 1z = 11 ⇒ 2x - 4y + 1z = 11
1x + 2y + 3z = 9 ⇒ 1x + 2y + 3z = 9
3x + 5z = 12 1x - 2y - 2z = 2
 1x - 2y - 2z = 2
2x - 4y + 1z = 11 -2x + 2y - 2z = -3
1x + 2y + 3z = 9 ⇒ 1x + 2y + 3z = 9 x - 4z = 1
3x + 5z = 12 ⇒ 3x + 5z = 12 x - 4z + 4z = 1 + 4z
 -2x + 2y - 2z = -3 x = 1 + 4z
 1 + 4z - 2y - 2z = 2
 1 - 2y + 4z - 2z = 2
 1 - 2y + 2z = 2
 - 1 - 1
 -2y + 2z = 1
 -2y + 2z - 2z = 1 - 2z
 -2y = 1 - 2z
 -2 -2
 y = -0.5 + z
 x + 2(-0.5 + z) - 2z = 2
 x - 1 + z - 2z + 2 = 2
 x - 1 + z = 2
 + 1 + 1
 x + z = 3
 x - x + z = 3 - x
 z = 3 - x

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