document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459793>Question 459793</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by elimination: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B5y=-5 ALIGN=MIDDLE  ALT=\"3x%2B5y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x-10y=-10 ALIGN=MIDDLE  ALT=\"-6x-10y=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "thanks \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #315310 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=315310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve by elimination: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B5y=-5 ALIGN=MIDDLE  ALT=\"3x%2B5y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x-10y=-10 ALIGN=MIDDLE  ALT=\"-6x-10y=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply each term in the first equation by -2.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x-10y=-10 ALIGN=MIDDLE  ALT=\"-6x-10y=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Subtract the second equation from the first.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B0=20 ALIGN=MIDDLE  ALT=\"0%2B0=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >     .\r<BR>\n" );
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document.write( "Hmmm...we notice that both the x- and y-terms have cancelled out. We are left with 0 = 20 which is never true. This tells us that, the system has no solutions.<BR>\n" );
document.write( "Notice that when we multiplied the first equation by -2, we got<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x-10y=-10 ALIGN=MIDDLE  ALT=\"-6x-10y=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x and y have the same coefficients in both equations, so the slopes are the same. However, the y-intercepts are different (10 and -10). These lines are parallel. The lines never intersect, so the system has no solution. </SPAN>\n" );
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