When we change the equations to slope-intercept form...

    3y - 1 = x becomes y = x/3 + 1/3
            slope = 1/3
            y-intercept = 1/3

    x - 3y = 2 becomes y = x/3 - 2/3
            slope = 1/3
            y-intercept = -2/3

When we graph this it appears like that below:

Since the two lines are parallel there is NO SOLUTION to this system of equations.  We can also tell this by looking at the slopes of the lines which are the same.  We know from chapter 8 that parallel lines have the same slope.  No single point will satisfy both original equations.        

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