State whether the following equations are independent, dependent, consistent, inconsistent: x + y = 23x = 8 - 3y

Expert Answers
justaguide eNotes educator| Certified Educator

The two equations are:

x + y = 2

3x = 8 - 3y

Drawing a graph of the two:

It is seen that the lines represented by the two equations are parallel to each other.

The system of equations has 0 solutions and is inconsistent.

atyourservice | Student

Both equations have no solutions so the equation is inconsistent.