Problem

A mathematics class has studied linear equations, their graphs, and the results of m...

A mathematics class has studied linear equations, their graphs, and the results of multiplying both sides of an equation by a constant, or adding or subtracting two equations. Some properties of linear equations given by some of the students are stated in Exercise. In each exercise justify that the statement is valid or in error.

Shona said she thought it was possible for graphs of three linear equations in two variables to intersect in a unique point, but she did not know what the graphs would look like. Help Shona by giving an example of three lines intersecting in a unique point, or give a reason why this is impossible.

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