Find a system of two equations in three variables, x1, x2, and x3, that has the solution set given by the parametric representation x1 = t, x2 = s, and x3 = 3 + s − t where s and t are any real numbers. Then show that the solutions to the system can also be written as x1 = 3 + s − t, x2 = s, and x3 = t.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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Find a system of two equations in three variables, x1, x2, and x3, that has the solution set given by the parametric representation
x1 = t, x2 = s, and x3 = 3 + s − t
where s and t are any real numbers. Then show that the solutions to the system can also be written as
x1 = 3 + s − t, x2 = s, and x3 = t.

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