The system is inconsistent because the slopes are the same and the lines are different.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the following system of equations:
y = 6x + 2 (1)
y = 6x + 1 (2)
We can see that both equations have the same slope of 6 but have different y intercepts.
Hence the system is inconsistent because the slopes are the same and the lines are different.
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