document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143404>Question 143404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you know when an equation has infinitely<BR>\n" );
document.write( "many solutions? <BR>\n" );
document.write( "How do you know when an equation has no solution?\r<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 #104426 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=104426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider x+y=5. This implies y=5-x. What values of x can you plug in on the right side to get an answer? Infinitely many!\r<BR>\n" );
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document.write( "Now, consider 0=2. Is this correct? No. This means there is no solution--- there is nothing you can do algebraically to make the relationship true without altering it. \r<BR>\n" );
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document.write( "In general, infinitely many solutions means you can substitute any value for some variable(s) and get infinitely many answers. No solution applies when you can not find any solution to make a relationship true.\r<BR>\n" );
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document.write( "I can explain further, particularly through the use of systems of equations. E-mail me at enabla@gmail.com if you're interested. </SPAN>\n" );
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