document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347214>Question 347214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the system of linear equations:\r<BR>\n" );
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document.write( "x + 2y = 6<BR>\n" );
document.write( "x + ay = a + b\r<BR>\n" );
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document.write( "a) Determine the values of a and b for which the system has:\r<BR>\n" );
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document.write( "i) no solution<BR>\n" );
document.write( "ii) infinitely many solutions<BR>\n" );
document.write( "iii) exactly on solution\r<BR>\n" );
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document.write( "b) In case ii) above, give the general solution of the system. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248277 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=248277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=4 ALIGN=MIDDLE  ALT=\"b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the lines are identical and will have infinitely many solutions.<BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%3C%3E4 ALIGN=MIDDLE  ALT=\"b%3C%3E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the line are parallel and will have no solution. <BR>\n" );
document.write( "For all other values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the lines will have a unique solution.<BR>\n" );
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document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y=6 ALIGN=MIDDLE  ALT=\"x%2B2y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=-x%2B6 ALIGN=MIDDLE  ALT=\"2y=-x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-%28x%2B6%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%28x%2B6%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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