Question

Gladys classifies the following system of equations.

Answer 1

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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