document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757428>Question 757428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by the elimination method\r<BR>\n" );
document.write( "\n" );
document.write( "5x-9y=-71<BR>\n" );
document.write( "9x+5y=63 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460800 by </B><A HREF=/tutors/aboutme.mpl?userid=LearnWithMajor><B>LearnWithMajor(33)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LearnWithMajor><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=460800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve by elimination we first need to have the coefficients in front of one variable to be the same. For this problem I am going to eliminate y.\r<BR>\n" );
document.write( "\n" );
document.write( "5x-9y=-71<BR>\n" );
document.write( "9x+5y=63\r<BR>\n" );
document.write( "\n" );
document.write( "5(5x-9y=-71)<BR>\n" );
document.write( "9(9x+5y=63)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x-45y=-355 ALIGN=MIDDLE  ALT=\"25x-45y=-355\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81x%2B45y=567 ALIGN=MIDDLE  ALT=\"81x%2B45y=567\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now that the coefficients in front of the y's are the same I am going to add the two equations together because the signs in front of the coefficients are different (if they were the same we would need to subtract)\r<BR>\n" );
document.write( "\n" );
document.write( " 25x-45y=-355<BR>\n" );
document.write( "+81x+45y=567\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B81x+=+-355%2B567 ALIGN=MIDDLE  ALT=\"25x%2B81x+=+-355%2B567\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=106x+=+212 ALIGN=MIDDLE  ALT=\"106x+=+212\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Plug x back into one of the original equations to solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%282%29%2B5y+=+63 ALIGN=MIDDLE  ALT=\"9%282%29%2B5y+=+63\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+%2B+5y+=+63 ALIGN=MIDDLE  ALT=\"18+%2B+5y+=+63\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+45 ALIGN=MIDDLE  ALT=\"5y+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+9 ALIGN=MIDDLE  ALT=\"y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );