<PRE><B>Question 621480</B>
The three choices are not mutually exclusive.  A system can be consistent and dependent if it has an infinite number of solutions.&lt;P&gt;
By graphing, or with algebra, notice that both equations are the same.&lt;P&gt;
Divide the first by 3 to see it&#39;s x - y = -3&lt;P&gt;
Divide the second by 9:  x - y = -3&lt;P&gt;
Since they are the same there are an infinite number of solutions.  Therefore this system is consistent and dependent.&lt;P&gt;
By substitution note that (first equation)&quot;  x=y-3&lt;P&gt;
Second equation 9(y-3) -9y =-27&lt;P&gt;
9y - 27 -9y = -27&lt;P&gt;
0=0 - denotes infinite number of solutions.
&lt;P&gt;Hope the solution helped.  Sometimes you need more than a solution.  Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
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