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Consider the set of points (x, y, z) defined by the set of equations below:

{ x = 1 - t }
{ y = 2t }
{ z = 1 + t }

where t is a real number parameter.

Find a 2 x 3 system of linear equations having this set of points as its solution set.

Please show all steps in your work and explain your answer in detail.

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Solution Summary

A possible system of equations is demonstrated.

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Hello and thank you for posting your question to Brainmass!

All we have to do is to find the relations between the variables x,y and z based on the information we have about their relations with t.

For example we see that

x+z = (1-t)+(1+t) = 2

So one equation can be ...

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