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



Asked on

3 Answers | Add Yours

justaguide's profile pic

Posted on (Answer #1)

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

Posted on (Answer #2)

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.

atyourservice's profile pic

Posted on (Answer #3)

The equation is consistent and independent.

We’ve answered 288,008 questions. We can answer yours, too.

Ask a question