document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417680>Question 417680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Does this system of equations have one solution, no solutions, or an infinite number of solutions?  \r<BR>\n" );
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document.write( "3x + y = 9<BR>\n" );
document.write( "6x = 4 - 2y\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 #292394 by </B><A HREF=/tutors/aboutme.mpl?userid=dnanos><B>dnanos(83)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dnanos><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=dnanos><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The system has no solutions.<BR>\n" );
document.write( "This is because it consists of two equations that their graphs represent parallel lines.So they have not a common point.<BR>\n" );
document.write( "3x+y=9<BR>\n" );
document.write( "6x+2y=4<BR>\n" );
document.write( "We divide the second equation by 2<BR>\n" );
document.write( "6x/2+2x/2=4/2<BR>\n" );
document.write( "Simplify<BR>\n" );
document.write( "3x+y=2<BR>\n" );
document.write( "There is no pair of numbers (x,y) that makes these two equations<BR>\n" );
document.write( "3x+y=9<BR>\n" );
document.write( "3x+y=2<BR>\n" );
document.write( "to come true in common.<BR>\n" );
document.write( "So we obtain no solution.<BR>\n" );
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