document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=801691>Question 801691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve each system of equations by the substitution method<BR>\n" );
document.write( "-3x+y=7 5x+2y=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483600 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=483600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -3x + y = 7<BR>\n" );
document.write( "-3x + 3x + y = 3x + 7<BR>\n" );
document.write( "y = 3x + 7<BR>\n" );
document.write( "substitute this for y in the second equation<BR>\n" );
document.write( "5x + 2(3x + 7) = 3<BR>\n" );
document.write( "5x + 6x + 14 = 3<BR>\n" );
document.write( "11x + 14 - 14 = 3 - 14<BR>\n" );
document.write( "11x = -11<BR>\n" );
document.write( "11x/11 = -11/11<BR>\n" );
document.write( "x = -1\r<BR>\n" );
document.write( "\n" );
document.write( "substitute x into the equation\r<BR>\n" );
document.write( "\n" );
document.write( "-3(-1) + y = 7<BR>\n" );
document.write( "3 + y = 7<BR>\n" );
document.write( "3 - 3 + y = 7 - 3<BR>\n" );
document.write( "y = 4\r<BR>\n" );
document.write( "\n" );
document.write( "check:<BR>\n" );
document.write( "-3(-1) + 4 = 7<BR>\n" );
document.write( "3 + 4 = 7<BR>\n" );
document.write( "7 = 7\r<BR>\n" );
document.write( "\n" );
document.write( "5(-1) + 2(4) = 3<BR>\n" );
document.write( "-5 + 8 = 3<BR>\n" );
document.write( "3 = 3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );