Solved: Find a system of two equations in three

Chapter 1, Problem 72

(choose chapter or problem)

Find a system of two equations in three variables, \(x_{1},x_{2}\) and \(x_{3}\), that has the solution set given by the parametric representation

\(x_{1}=t, \quad x_{2}=s\), and \(x_{3}=3+s-t\)

where s and t are any real numbers. Then show that the solutions to the system can also be written as

\(x_{1}=3+s-t, \quad x_{2}=s\), and \(x_{3}=t\).

Text Transcription:

x_1,x_2

x_3

x_1=t, x_2=s

x_3=3+s-t

x_1=3+s-t

x_2=s

x_3=t