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 #268468 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268468\">put this solution on YOUR website!</A><BR><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( "------<BR>\n" );
document.write( "Multiply the 1st Eq. by -2 to get:<BR>\n" );
document.write( "-4x-2y = -26<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Add that to the 2nd equation to get:<BR>\n" );
document.write( "0 = -3<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "That is a contradictions which resulted because<BR>\n" );
document.write( "you assumed the x's in the two equations were<BR>\n" );
document.write( "the same and the y's in the two equations were<BR>\n" );
document.write( "the same.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "They are not.<BR>\n" );
document.write( "The system of equations is said to be \"inconsistent\".<BR>\n" );
document.write( "If you graph the two equations you will see that<BR>\n" );
document.write( "they are parallel.  There is no (x,y)point that lies<BR>\n" );
document.write( "on both of the lines.<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );