<meta http-equiv="refresh" content="1; url=/nojavascript/"> Determining the Type of Linear System ( Study Aids ) | Algebra | CK-12 Foundation
Dismiss
Skip Navigation

Determining the Type of Linear System

%
Progress
Practice Determining the Type of Linear System
Practice
Progress
%
Practice Now
Determining the Type of Linear System

Determining the Type of Linear System

  • A consistent system will always give exactly ___ solution.
  • An inconsistent system will yield a statement that is _______ (like 0 = 13 ).
  • A dependent system will yield a statement that is _______ (like 9 = 9 ).

Check your answers here.

To determine the type of linear system...

  1. Solve the systems of equations using substitution, linear combination, or any other method.  Remember, the solution to the system of equations are quantities for x, y, (and z) that satisfy all equations.
  2. If you can successfully solve the system of equations with only one solution, you know it is consistent.
  3. If the "solution" to the system of equations turns out to be false, you know it is inconsistent.
  4. If the solution to the system of equations turns out to be always true regardless of the situation, you know it is dependent.

Practice

  1. 5x - 4y = 1\!\\-10x + 8y = -30
  2. 4x + 5y = 0\!\\3x = 6y + 4.5
  3. -2y + 4x = 8\!\\y - 2x = -4
  4. x - \frac{1}{2}y = \frac{3}{2}\!\\3x + y = 6

For more practice, look here.

Image Attributions

Explore More

Sign in to explore more, including practice questions and solutions for Determining the Type of Linear System.

Reviews

Please wait...
Please wait...

Original text