document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300001>Question 300001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each system of linear equations shown below, classify the system as \"consistent dependent,\" \"consistent independent,\" or \"inconsistent.\" Then, answer the question about its solutions.\r<BR>\n" );
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document.write( " First,<BR>\n" );
document.write( "L1:y=  2x-1<BR>\n" );
document.write( "L2: -2x+y=-1\r<BR>\n" );
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document.write( "The system of equations is:<BR>\n" );
document.write( "inconsistent, consistent dependent, consistent independent<BR>\n" );
document.write( "This means:<BR>\n" );
document.write( "a unique solution ( , )<BR>\n" );
document.write( "infinitely many solutions<BR>\n" );
document.write( "No solution\r<BR>\n" );
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document.write( "Second,<BR>\n" );
document.write( "L1: y= 3/2x - 2<BR>\n" );
document.write( "L2:y= 3/2 x<BR>\n" );
document.write( "The system of equations is:<BR>\n" );
document.write( "inconsistent, consistent dependent, consistent independent<BR>\n" );
document.write( "This means:<BR>\n" );
document.write( "a unique solution ( , )<BR>\n" );
document.write( "infinitely many solutions<BR>\n" );
document.write( "No solution\r<BR>\n" );
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document.write( "Third,<BR>\n" );
document.write( "L1:y= -1/2x-2<BR>\n" );
document.write( "L2 y= x+1\r<BR>\n" );
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document.write( "The system of equations is:<BR>\n" );
document.write( "inconsistent, consistent dependent, consistent independent<BR>\n" );
document.write( "This means:<BR>\n" );
document.write( "a unique solution ( , )<BR>\n" );
document.write( "infinitely many solutions<BR>\n" );
document.write( "No solution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215387 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For each system of linear equations shown below, classify the system as \"consistent dependent,\" \"consistent independent,\" or \"inconsistent.\" Then, answer the question about its solutions. <BR>\n" );
document.write( "First,<BR>\n" );
document.write( "L1:y= 2x-1<BR>\n" );
document.write( "L2: -2x+y=-1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Putting L2 in slope-intercept form you get:<BR>\n" );
document.write( "y = 2x-1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The two equations are the same so they are dependent.<BR>\n" );
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document.write( "The system of equations is:<BR>\n" );
document.write( "inconsistent, consistent dependent, consistent independent<BR>\n" );
document.write( "This means:<BR>\n" );
document.write( "a unique solution ( , )----No<BR>\n" );
document.write( "infinitely many solutions--Yes<BR>\n" );
document.write( "No solution---No<BR>\n" );
document.write( "=========================================== <BR>\n" );
document.write( "Second,<BR>\n" );
document.write( "L1: y= 3/2x - 2<BR>\n" );
document.write( "L2:y= 3/2 x<BR>\n" );
document.write( "The system of equations is:<BR>\n" );
document.write( "inconsistent, consistent dependent, consistent independent<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Ans: Inconsistent<BR>\n" );
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document.write( "This means:<BR>\n" );
document.write( "a unique solution ( , ):::No<BR>\n" );
document.write( "infinitely many solutions:No<BR>\n" );
document.write( "No solution:::Yes<BR>\n" );
document.write( "====================================== <BR>\n" );
document.write( "Third,<BR>\n" );
document.write( "L1:y= -1/2x-2<BR>\n" );
document.write( "L2 y= x+1 <BR>\n" );
document.write( "The system of equations is:<BR>\n" );
document.write( "inconsistent, consistent dependent, consistent independent<BR>\n" );
document.write( "Ans: Consistent<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "This means:<BR>\n" );
document.write( "a unique solution ( , ):::Yes<BR>\n" );
document.write( "infinitely many solutions::No<BR>\n" );
document.write( "No solution:::No<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );