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Solve for system of linear equations.

-2x + y + 6z = 1
3x + 2y +5z = 16
7x +3y - 4z = 11

1 Answer

6 votes

Final answer:

The question involves solving a system of linear equations. The process to find the values of x, y, and z can use substitution, elimination, or matrix methods, following algebraic steps cautiously.

Step-by-step explanation:

The student asked how to solve a system of linear equations. These equations are:

  • -2x + y + 6z = 1
  • 3x + 2y + 5z = 16
  • 7x + 3y - 4z = 11

To solve the system of linear equations, you can use either substitution, elimination, or matrix methods. The key is to systematically eliminate variables one at a time to eventually solve for unknowns x, y, and z. The process involves a number of algebraic steps which must be checked and rechecked for accuracy.

Unfortunately, the other equations provided in the question, such as y = yo + vot + 11at², do not apply to this problem as they relate to different types of problems (kinematics).

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