Question 1130672
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            I will do exactly as instructed.



<pre>
From the second equation, substitute this expression for y into the first equation.


You will get


    {{{3*((-1/3)x + 1/3)}}} + x = 1


Simplify it step by step


    -x + 1 + x = 1


Cancel similar terms


    0 = 0.


Every time when you get this identity after making equivalent transformations, it means that the original equation / (system of equations) 

is, actually, an identity and has infinitely many solutions.


It means that the system is dependent.


The general solution is  y = {{{(-1/3)x + 1/3}}}, as the second original equation states.
</pre>

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Actually, the stiff instructions prevents any initiative from the students.


But, actually, every educated student in healthy mind should notice (after 10 seconds looking into the system) that

the two equations are, indeed, equivalent and represent the same straight line, so the system is <U>dependent</U>.



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I am very surprised on how the tutor @LoverMath1 treats these problems on solving equation systems.


By applying this "pluggable solver", she turns / transforms / converts very serious educational task of teaching students 
into some unreadable and nonsensical text.