When graphing two linear equations, what is the significance of the intersection of the two graphs, and if there is no intersection?

the product of 5/8 and 64 is.......... less than 48

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When graphing two linear equations, the significance of the intersection of the two graphs is that it represents the solution to the system of equations. In other words, the point of intersection gives you the values of the variables that make both equations simultaneously true. This point is often referred to as the "solution point" or the "solution to the system".

If there is no intersection between the two graphs, it means that the system of equations has no common solution. This typically indicates that the two lines are parallel and will never intersect, meaning there are no values for the variables that satisfy both equations simultaneously. This is known as an "inconsistent system" because it cannot be solved.