Question

8) 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)

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

Answer 1

The system of equations is consistent and dependent.

The system of equations is given as:

• Equation 1: $3x - 3y =6$
• Equation 2: $-x + y = -2$.

The Graph

Start by plotting the graph of both equations (see attachment)

From the attached graph, we can see that both equations are represented on a single line.

This means that, the system of equations is consistent and dependent.

This is so because, the system of equations have infinite many solutions.

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