Question

Match the graph with the correct set of equations for the linear system. Then, classify the system as Consistent and Dependent, Consistent and Independent, or Inconsistent. (You should have two answers selected)

Answer 1

Consistent dependent

3x - 3y = 6 and -x + y = -2

Explanation:

Inconsistent: parallel lines, no solutions

Consistent dependent: same line, infinite solutions

Consistent independent: intersects at one point, one solution

Therefore, the pair of lines are Consistent dependent

From inspection of the diagram:

The lines will have equivalent equations.

Therefore, the solution is 3x - 3y = 6 and -x + y = -2

Because:

3x - 3y = 6 ⇒ y = x - 2

-x + y = -2 ⇒ y = x - 2