If Heather arrived at the equation \(0 = 60\) while using the linear combination method (also known as the elimination method), this indicates that the two original equations contradict each other. Specifically, an equation like \(0 = 60\) means that there is no value of \(x\) and \(y\) that can satisfy both equations simultaneously.
In other words, the system of equations represents two parallel lines that never intersect.
Thus, the correct conclusion to draw about the system of equations is:
The equation has no solution; therefore, the system of equations has no solution.
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