When solving a system of equations graphically,

Question

When solving a system of equations graphically, if the lines corresponding to the given equations are parallel, then the system of equations is said to be which of the following. I think it's C?

a.

dependent

b.

independent

c.

inconsistent

d.

unstable

Answer 1

You are correct, the answer is c: inconsistent.

Finding the solution to a system of equations means finding where the lines intersect.

1. If the lines do intersect, the system of equations is said to be independent
2. If the lines are parallel, they never intersect and the system is said to be inconsistent
3. If the lines are actually the same line, they lie on top of each other and hence intersect everywhere along their lengths. Then they are dependent