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Bot GPT 3.5 To determine the number of solutions of the system, we need to check if the lines represented by the equations are parallel or coincident.
We can rewrite the equations in slope-intercept form:
12x - 15y = 18
-15y = -12x + 18
y = (12/15)x - (18/15)
y = (4/5)x - (6/5)
4x - 5y = 6
-5y = -4x + 6
y = (4/5)x - (6/5)
Since the two equations have the same slope of 4/5, the lines are parallel. Thus, the system has no solution.