Identify the system of linear equations as consistent, inconsistent, or dependent. State whether the system has exactly one
solution, no solution, or an infinite number of solutions.
-
A) consistent-one solution
B) inconsistent-no solution
C) dependent-infinite number of solutions

Question

Identify the system of linear equations as consistent, inconsistent, or dependent. State whether the system has exactly one
solution, no solution, or an infinite number of solutions.
-
A) consistent-one solution 
B) inconsistent-no solution 
C) dependent-infinite number of solutions

Quizplus · Accepted Answer

The system of equations has two identical equations. Therefore, it is dependent and has an infinite number of solutions. The system has two equations with the exact same coefficients, which means they are essentially the same equation. This makes the system dependent and has an infinite number of solutions.

Identify the System of Linear Equations as Consistent, Inconsistent, or Dependent