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

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:
$\left(\begin{array}{cccc}2& 2& 3& 1\\ 2& 5& 3& 0\\ 0& 0& 0& 5\end{array}\right)$
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?
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Carter Escobar
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.
###### Not exactly what you’re looking for?
velitshh
It is a linear equation with no solutions, so the linear system has no solutions.