camrynclairet camrynclairet
  • 02-04-2019
  • Mathematics
contestada

A system of 3 linear equations in 3 variables is consistent and independent. How many solutions to the system exist

Respuesta :

carlosego
carlosego carlosego
  • 02-04-2019

Answer:

One solution

Step-by-step explanation:

By definition:

A system of linear equations is classified according to the number of solutions such as:

* Consistent: If the system has at least one solution.

* Inconsistent: If the system has no solution

Then, the systems of consistent linear equations are classified as:

* Independent: If the system has only one solution

* Dependents: If the system has endless solutions.

Thus. A consistent and independent system of equations has only one solution

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