document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515309>Question 515309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Without solving or graphing, can you say whether the solution set to the<BR>\n" );
document.write( "following systems have zero, one, or infnitely many members? Can you also explain why?\r<BR>\n" );
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document.write( "1.)<BR>\n" );
document.write( "y = 4x - 7<BR>\n" );
document.write( "y = 3x + 2\r<BR>\n" );
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document.write( "2.)<BR>\n" );
document.write( "y = 3x - 6<BR>\n" );
document.write( "y = 3x + 1\r<BR>\n" );
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document.write( "3.)<BR>\n" );
document.write( "-2x + 3y = 2<BR>\n" );
document.write( "6y - 4X = 4<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343897 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=343897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.)<BR>\n" );
document.write( "y = 4x - 7<BR>\n" );
document.write( "y = 3x + 2\r<BR>\n" );
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document.write( "This ahs one solution. The slopes are different and the y intercepts are not the same. So trhey will intersect\r<BR>\n" );
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document.write( "2.)<BR>\n" );
document.write( "y = 3x - 6<BR>\n" );
document.write( "y = 3x + 1\r<BR>\n" );
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document.write( "the slopes of the lines are same and the y intercepts are different. So zero solution. As the lines will never meet.\r<BR>\n" );
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document.write( "3.)<BR>\n" );
document.write( "-2x + 3y = 2<BR>\n" );
document.write( "6y - 4X = 4\r<BR>\n" );
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document.write( "When you multiply the first equation by 2 you find that both lines are identical. same slope , same intercept. It means that the lines coincide  and has innumerable solutions\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca  </SPAN>\n" );
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