document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126109>Question 126109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Tutor.<BR>\n" );
document.write( "I have two questions. Can you , please help me ?<BR>\n" );
document.write( "How to explain how equations come up with infinitely many solutions and no solution. Does having no solution mean that 0 is a solution?<BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92415 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=92415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How to explain how equations come up with infinitely many solutions and no solution. Does having no solution mean that 0 is a solution?<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "If you have two linear equations, and one is a multiple of the other,<BR>\n" );
document.write( "the system is said to be dependent; the graph is a single line; every<BR>\n" );
document.write( "point on the line is a solution for the system.  That means there<BR>\n" );
document.write( "are an infinite number of solutions if the system is dependent.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "If two linear equations have the same slope, the lines are parallel.<BR>\n" );
document.write( "There is NO solution for the system. <BR>\n" );
document.write( "NO solutions does not mean \"0\" is a solution.  Zero is a number<BR>\n" );
document.write( "just like any other number is a number. No solutions means there<BR>\n" );
document.write( "are no solutions.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );