Transforming Vector Equation in ax + by = c

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Homework Help Overview

The discussion centers around transforming a vector equation into the standard form of a linear equation, specifically ax + by = c. The original poster expresses difficulty in understanding how to approach this transformation, particularly in the context of vector notation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need for clarity on the original poster's question and the lack of information provided. There are attempts to clarify the vector equation format and the steps needed to eliminate the parameter t from the equations derived from the vector components.

Discussion Status

The discussion is ongoing, with participants seeking to understand the original poster's needs better. Some guidance has been offered regarding the elimination of the parameter t, but there is no explicit consensus on the best approach to take.

Contextual Notes

There is a noted lack of information about the vector equation in the original poster's resources, and some participants question whether two equations are necessary for the transformation process.

Peter G.
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There's no information whatsoever about that in my book and my teacher never taught me how to do it. Could anyone maybe give me some tips or point me out a good website? Thanks!
 
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You haven't given us enough information to even know what your question is.
 
I meant in a general sense, but I can write a question if it helps:

(These should be column vectors, but I don't know how to show them in here:)

(x y) = (2 0) + t(0.7 1)

I have to turn that into a c = ax + by form but I have no idea how to start...
 
Peter G. said:
I meant in a general sense, but I can write a question if it helps:

(These should be column vectors, but I don't know how to show them in here:)

(x y) = (2 0) + t(0.7 1)

I have to turn that into a c = ax + by form but I have no idea how to start...

Write what x equals, what y equals, and eliminate the t between the two equations.
 
But if I substitute for x and y I only have one unknown, do I need two equations?
 
LCKurtz said:
Write what x equals, what y equals, and eliminate the t between the two equations.

Peter G. said:
But if I substitute for x and y I only have one unknown, do I need two equations?

Each component of the vector equation gives you an equation involving t. Eliminate the t variable between those two equations.
 

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