SOLUTION: Please help me to solve this problem: Use row operations to solve the system. x-y=7 y-z=-3 x+z=4 Thank you

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Question 689376: Please help me to solve this problem:
Use row operations to solve the system.
x-y=7
y-z=-3
x+z=4
Thank you

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


  1  -1   0   7
  0   1  -1  -3
  1   0   1   4

-R1 + R3 -> R3

  1  -1   0   7
  0   1  -1  -3
  0   1   1  -3 

-R2 + R3 -> R3

  1  -1   0   7
  0   1  -1  -3
  0   0   2   0

R3/2 -> R3

  1  -1   0   7
  0   1  -1  -3
  0   0   1   0

R3 + R2 -> R2

  1  -1   0   7
  0   1   0  -3
  0   0   1   0

R2 + R1 -> R1

  1   0   0   4
  0   1   0  -3
  0   0   1   0


x = 4; y = -3; z = 0


John

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