Thursday, March 5, 2009

Question 3: Graphical method




Why is it that the intersection point is the answer to the simultaneous linear equations? [Why is it not the point in yellow for example?]

[Habits of Mind: Metacognition]

5 comments:

  1. The intersection point indicates the value of x and y in the simultaneous linear equations, hence it is the answer.

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  3. If we only had line A on the graph, all the points along it could be possible solutions to linear equation A. We know that both linear equation A and linear equation B must have the same answers. With this, the point they intersect is the only point that appears on both lines. The answer cannot be the yellow point as it is only along line A and not Line B.

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  4. It is not the point in yellow as that point is only along Line A but not both Lines A and B. Like what Sangheetha had mentioned, if there was only one line, all the points along it could be the possible solutions to the linear equation. But since there are two lines, we need to find out which point Line A and B intersect so that they will end up the same answers.

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  5. The point in yellow is only a solution for that line which is Line A but if we want to find the answers to the simultaneous linear equations, we have to find a point in which that point is the solution (i.e. the point lies on Line A and B ) for both the equations. Therefore, since the intersection of Lines A and B is also the solutions for Lines A and B, the intersection of the two lines is the answer for the simultaneous linear equations.

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