Final answer:
When the final statement after solving a system of equations using substitution is 3=2, it means there is no solution. The lines in the system of equations are parallel and never intersect.
Step-by-step explanation:
When solving a system of equations using substitution, if the final statement is the equation 3=2, then it means that the system of equations is inconsistent and has no solution. This is because the equation 3=2 is not true and does not represent a valid solution.
In terms of the lines in the system of equations, if the slopes and y-intercepts were defined, then it would mean that the lines are parallel and never intersect. This is because the slopes of the lines are equal but the y-intercepts are different.
For example, if the equation of the first line is y = 2x + 1 and the equation of the second line is y = 2x + 3, then both lines have a slope of 2 but different y-intercepts. Therefore, the lines are parallel and do not intersect.