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Easy question, easy points

"Explain why the solution of a system of linear equations is the point of intersection of their graphs"
Can you please explain this to be in a simpler form?

User Avinash Bhawnani
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1 Answer

6 votes
6 votes

Answer:

Explanation:

The solution of a system of linear equations is the point of intersection of their graphs because the intersection represents the only x or y values that will satisfy both/all equations. The graph visually shows that the intersection of these equations is the only spot on the graph that all of the equations have in common. This means that only this spot will satisfy all equations. For example, the intersection may be (0,1); this means that for all equations an x value of 0 will always result in the y value of 1. However, an x or y value that satisfies one equation may not satisfy the others if they do not lead to the desired outcome.

User Richard A Quadling
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