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Find the solution of the system of equations given in row-echelon form: [1 0 0 0 9/4; 0 1 0 0 3/5; 0 0 1 0 2/3; 0 0 0 1 -9/5]

User Nadun
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1 Answer

4 votes

Final answer:

The system of equations in row-echelon form directly provides the solution: x = 9/4, y = 3/5, z = 2/3, and w = -9/5, with no further steps required.

Step-by-step explanation:

The student is asking to find the solution of a system of equations presented in row-echelon form. Specifically, the system given is:

  • x = 9/4
  • y = 3/5
  • z = 2/3
  • w = -9/5

To solve the simultaneous equations for the unknowns, we can directly read off the solutions from the row-echelon form, as each variable corresponds to one of the rows. There are no additional steps required since the system is already in its simplest form where each variable is isolated. Therefore, the solution to the system of equations is:

  • x = 9/4
  • y = 3/5
  • z = 2/3
  • w = -9/5

There is no need for further algebraic rearrangement; the answers are straightforward from the given matrix.

User Kinbiko
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7.0k points