jdog4190 jdog4190
  • 19-12-2018
  • Mathematics
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Solve the system of equations in three variables

Solve the system of equations in three variables class=

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gmany
gmany gmany
  • 27-12-2018

We start from the third equation:

4z = 16     divide both sides by 4

z = 4

Put the value of z to the second equation:

y + 4 = 5      subtract 4 from both sides

y = 1

Put the values of y and z to the first equation:

3x + 2(1) - 4 = 4

3x + 2 - 4 = 4

3x - 2 = 4      add 2 to both sides

3x = 6      divide both sides by 3

x = 2


Answer: x = 2, y = 1, z = 4 → (2, 1, 4)

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