State whether the following equations are independent, dependent, consistent, inconsistent : y = 3, 3x = 8 - 3y

3 Answers | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The system of linear equations consists of the equations: y = 3 and
3x = 8 - 3y

Plotting the two equations gives:

It is seen that the two lines intersect each other at a single point.

The given equations are consistent and independent.

baronridiculous's profile pic

baronridiculous | College Teacher | (Level 1) eNoter

Posted on

This has a unique solution (x=-1/3, y=3) so the system is consistent and independent.

Remember, inconsistent means there's no solution, and dependent means there are an infinite number of solutions.

We’ve answered 319,210 questions. We can answer yours, too.

Ask a question