document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127010>Question 127010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many solutions does the following system have? explain. y= -1/2x+2<BR>\n" );
document.write( "                                                            3x+6y=2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93015 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=93015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the second equation for y:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B6y=2 ALIGN=MIDDLE  ALT=\"3x%2B6y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y=-3x%2B2 ALIGN=MIDDLE  ALT=\"6y=-3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2F2%2B2%2F6 ALIGN=MIDDLE  ALT=\"y=-x%2F2%2B2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Both lines have the same slope, so they are either parallel and there are zero elements in the solution set for this system, or they are the same line and there are an infinite number of elements in the solution set.  Since the two lines have different y-intercepts, they cannot be the same line.  Therefore the lines are parallel and there are zero solutions. </SPAN>\n" );
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