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KonstantinChe [14]
3 years ago
6

X+3y−z=2 4x+2y+5z=1 3x+z=12

Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0

Answer:

  • x=5, y= -2, z= -3

Step-by-step explanation:

<u>Given system of equations</u>

  • x+3y−z=2         (1)
  • 4x+2y+5z=1     (2)
  • 3x+z=12           (3)

<u>Solution</u>

3*(2) - 2*(1)

  • 10x + 17z = -1  (4)

17*(3) - (4)  

  • 51x - 10x + 17z - 17z = 12*17 - (-1)
  • 41x = 205
  • x = 5
  • 5*3 + z = 12 ⇒ z = -3
  • 5 + 3y -(-3) = 2 ⇒ 3y = -6 ⇒ y = -2

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