document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631650>Question 631650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a common solution for the system of equations -3y+12x=9 and x-y=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397747 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=397747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     Find a common solution for the system of equations -3y+12x=9 and x-y=0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "-3y+12x=9<BR>\n" );
document.write( "x-y=0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Reorder the first equation:<BR>\n" );
document.write( "12x-3y=9<BR>\n" );
document.write( "  x- y=0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Multiply the second equation by -3 and add both equations together:<BR>\n" );
document.write( "12x-3y=9<BR>\n" );
document.write( "-3x+3y=0<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( " 9x   =9<BR>\n" );
document.write( "  x  = 1<BR>\n" );
document.write( ".<BR>\n" );
document.write( "substitute the above into:<BR>\n" );
document.write( "x-y=0<BR>\n" );
document.write( "1-y=0<BR>\n" );
document.write( "-y=-1<BR>\n" );
document.write( "y = 1<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer: x=1 and y=1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );