Is the following equation regarded as a linear equation? 0 x 1 </msub> +

Brooke Webb 2022-05-23 Answered
Is the following equation regarded as a linear equation?
0 x 1 + 0 x 2 + 0 x 3 = 5
The original question is as below:
Solve the linear system given by the following augmented matrix:
( 2 2 3 1 2 5 3 0 0 0 0 5 )
Note the words linear system in the original question. So, I was asking myself whether 0 x 1 + 0 x 2 + 0 x 3 = 5 is a linear equation. Can we call all of the equations given by the matrix collectively as a linear system?
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Answers (2)

Carter Escobar
Answered 2022-05-24 Author has 9 answers
The reason you MUST call it a linear equation is that you want to call the following a linear equation, for all constants a 1 , a 2 , a 3 :
a 1 x 1 + a 2 x 2 + a 3 x 3 = 5
You don't want to call this a "sometimes" linear equation.
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velitshh
Answered 2022-05-25 Author has 2 answers
It is a linear equation with no solutions, so the linear system has no solutions.
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