Is x1+x2=x3+x4 a linear equation?

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The equation x1 + x2 = x3 + x4 qualifies as a linear equation due to the maximum power of any variable being 1 and the absence of trigonometric functions or products of variables. However, it does not represent the equation of a straight line. While it can be part of a linear system, it cannot independently form one, as a minimum of two separate linear equations is required to establish a linear system.

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hivesaeed4
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Is it? Personally, I think it is since the max power on any unknown is 1, no trig function, no product of unknowns etc. Also could the above mentioned linear equation form a linear system ? I don't think so (cause we always need at least two separate linear equations to form a linear system) but I just want to be sure.
 
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Please note that 'a linear equation', 'the equation of a straight line' and 'a linear system' are three different things.

Your sample equation is a linear equation.

It is not the equation of a straight line.

It could even be part of a linear system, but by itself is not enough to form one since there are four variables mentioned.
 

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