The result \( 4 = 8 \) is false. This indicates that there is no value of \( t \) (time in months) that can satisfy both equations for the heights of Plant A and Plant C simultaneously.
This means that the two plants, represented by the equations \( h = 4 + 2t \) for Plant A and \( h = 8 + 2t \) for Plant C, will never have the same height at any point in time. The equations describe parallel lines when graphed, as they have the same slope (2) but different y-intercepts (4 for Plant A and 8 for Plant C). Therefore, Plant A is always shorter than Plant C by a constant height difference of 4 cm, regardless of the value of \( t \).