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nata0808 [166]
2 years ago
13

Solve the system of equations. y+4z=0 4x+y-2z=2 -3x-3z=-9

Mathematics
2 answers:
vazorg [7]2 years ago
7 0

Answer:

  • x = 7/3
  • y = - 8/3
  • z = 2/3

Step-by-step explanation:

y + 4z = 0

4x + y - 2z = 2

____________ -

- 4x + 6z = - 2

- 4x + 6z = - 2 → times 3 → - 12x + 18z = - 6

- 3x - 3z = - 9 → times 4 → - 12x - 12z = - 36

- 12x + 18z = - 16

- 12x - 12z = - 36

______________ -

30z = 20

z = 20/30

z = 2/3

y + 4(2/3) = 0

y + 8/3 = 0

y = - 8/3

- 3x - 3z = - 9

- 3x - 3(2/3) = - 9

- 3x - 6/3 = - 9

- 3x - 2 = - 9

- 3x = - 9 + 2

- 3x = - 7

x = - 7/- 3

x = 7/3

antoniya [11.8K]2 years ago
3 0

Step-by-step explanation:

y+4z=0

4x+y-2z=2

-3x-3z=-9

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