document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628967>Question 628967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the equations 8a - 10b = 1/3 and 20a - 25b= 5/6 have many solutions.<BR>\n" );
document.write( "Is it......<BR>\n" );
document.write( "A) (20,50)<BR>\n" );
document.write( "B) (-3,-3)<BR>\n" );
document.write( "C) (3,2)<BR>\n" );
document.write( "D) infinitely many<BR>\n" );
document.write( "E) (5,4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395938 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "A linear system has either zero, one, or infinitely many solutions.  I.e. your system cannot have \"many solutions\" unless it has infinite solutions.\r<BR>\n" );
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document.write( "Multiply both equations by the reciprocal of the constant term (i.e. the fraction in the RHS).  You will find that they are both the same equation and therefore the graphs of the two lines are coincident having and infinite number of points of intersection.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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