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X+y+2x=1,x-y+z=-5,3x+y+z=3.​

1 Answer

6 votes
  • Answer:

Hence, The solution is:

x = 1

y = - 2

z = 2

Explanation:

  • Combine Like Terms:

3x + y = 1

  • Combine The Equations:

x - y + z = 5

3x + y + z = 3

  • Eliminate Variables by Method of Elimination:

x + y = -1

  • Unite The System of Linear Equations in Two Variables:

x + y = -1

3x + y = 1

  • Obtain the solution:

x = 1

y = -2

  • Substitute into an original equation:

1 - (-2) + z = 5

  • Evaluate the Value of the Variable:

z = 2

  • Solve a Three Variable System:

Hence, The Solution is: x = 1, y = -2, z = 2

I hope this helps you!

User Eillarra
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