find a parametric representation of the solution set of the linear equation. (enter your answer as a comma-separated list of equ

Question

2 years ago

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ations. use t as your parameter.)

1 answer:

Ostrovityanka [42] · Answer 1 · 2023-08-17T09:30:12+03:00

To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.

Every linear equation has n - 1 free variables where n is the number of variables.

For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.

First, let y and z be the free variables, we first solve the linear equation for x to get:

x = 2 - y - z

Therefore , the parametric representation of the solution set is given by :

x = 2 - s -t

y = s

z = t

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