document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=803646>Question 803646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the given system by the substitution method.\r<BR>\n" );
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document.write( "-9x+y=43<BR>\n" );
document.write( "6x+18y=102 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484438 by </B><A HREF=/tutors/aboutme.mpl?userid=waynest><B>waynest(281)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=waynest><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=484438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -9x + y = 43<BR>\n" );
document.write( "6x + 18y = 102\r<BR>\n" );
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document.write( "y = 9x + 43<BR>\n" );
document.write( "substitute 9x + 43 for y in the second equation<BR>\n" );
document.write( "6x + 18(9x + 43) = 102<BR>\n" );
document.write( "6x + 162x + 774 = 102<BR>\n" );
document.write( "168x + 774 - 774 = 102 - 774<BR>\n" );
document.write( "168x = -672<BR>\n" );
document.write( "168x/168 = -672/168<BR>\n" );
document.write( "x = -4\r<BR>\n" );
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document.write( "substitute -4 for x in equation 1<BR>\n" );
document.write( "-9(-4) + y = 43<BR>\n" );
document.write( "36 + y = 43<BR>\n" );
document.write( "36 - 36 + y = 43 - 36<BR>\n" );
document.write( "y = 7\r<BR>\n" );
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document.write( "check with both equations:<BR>\n" );
document.write( "-9(-4) + 7 = 43<BR>\n" );
document.write( "36 + 7 = 43<BR>\n" );
document.write( "43 = 43\r<BR>\n" );
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document.write( "6(-4) + 18(7) = 102<BR>\n" );
document.write( "-24 + 126 = 102<BR>\n" );
document.write( "102 = 102 </SPAN>\n" );
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