document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116594>Question 1116594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by addition method.\r<BR>\n" );
document.write( "\n" );
document.write( "4x-6y=10<BR>\n" );
document.write( "2x-3y=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731480 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=731480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-6y=10 ALIGN=MIDDLE  ALT=\"4x-6y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y=3 ALIGN=MIDDLE  ALT=\"2x-3y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Multiply the second equation by -2 to make the coefficients of x the same; then add the two equations.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-6y=10 ALIGN=MIDDLE  ALT=\"4x-6y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%2B6y=-6 ALIGN=MIDDLE  ALT=\"-4x%2B6y=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+4 ALIGN=MIDDLE  ALT=\"0+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Both variables were eliminated, leaving us with an equation which is not true.  That means there are no values of x and y for which the original two equations are both true.<br><BR>\n" );
document.write( "There is no solution to the system of equations; the graphs are parallel lines. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );