document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377853>Question 377853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using the multiplication principle first. Then use the elimination method.<BR>\n" );
document.write( "2x+y=13<BR>\n" );
document.write( "4x+2y=23<BR>\n" );
document.write( "I'm not sure if I multiply equation #1 by -2 to eliminate x?  If I do that, then I eliminate y. I'm confused, what do I multiply?  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268469 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+y=13<BR>\n" );
document.write( "4x+2y=23\r<BR>\n" );
document.write( "\n" );
document.write( "multiply the first equation by -2<BR>\n" );
document.write( "-4x-2y=-26<BR>\n" );
document.write( "add to second<BR>\n" );
document.write( "-4x+4x+2y-2y=23-26<BR>\n" );
document.write( "0=-3<BR>\n" );
document.write( "...<BR>\n" );
document.write( "This system has no solution. They are parallel lines<BR>\n" );
document.write( "Just have a look at the graphs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-1%2C20%2C-1%2C25%2C%28-2x%2B13%29%2C%28-2x%2B23%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-1%2C20%2C-1%2C25%2C%28-2x%2B13%29%2C%28-2x%2B23%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.annath@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );