State whether the following equations are independent, dependent, consistent, inconsistent:

x + y = 2

3x = 8 - 3y

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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.**

Both equations have no solutions so the equation is inconsistent.

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