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Solve
X+y-z=4 , 3x + 2y +4z =17 , -x+5y+z=8

Sagot :

mhanifa

Answer:

  • (3, 2, 1)

Step-by-step explanation:

Given the system:

  • x + y - z = 4
  • 3x + 2y + 4z = 17
  • -x + 5y + z = 8

Add up the first and third equations, solve for y:

  • x + y - z - x + 5y + z  = 4 + 8
  • 6y = 12
  • y = 2

Substitute the value of y to get the system:

  • x - z = 2
  • 3x + 4z = 13

Multiply the first equation by 4 and add up the second equation to solve for x:

  • 4x - 4z + 3x + 4z = 8 + 13
  • 7x = 21
  • x = 3

Find the value of z:

  • z = x - 2 = 3 - 2 = 1

The solution is:

  • (3, 2, 1)
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