document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250938>Question 250938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by the substitution method \r<BR>\n" );
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document.write( "3m+n=13<BR>\n" );
document.write( "m-2n=23\r<BR>\n" );
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document.write( "what is the solution of the system </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182710 by </B><A HREF=/tutors/aboutme.mpl?userid=actuary><B>actuary(112)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=actuary><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=182710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rearrange the first equation so that n=13-3m\r<BR>\n" );
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document.write( "SUBSTITUTE the rearranged equation into the second equation for n.\r<BR>\n" );
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document.write( "The second equation then becomes m-2(13-3m)=23\r<BR>\n" );
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document.write( "Use the DISTRIBUTIVE property so that this equation becomes\r<BR>\n" );
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document.write( "m-2*13+2*3m = 23  (REMEMBER - negative times a negative is a negative)\r<BR>\n" );
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document.write( "We now have m-26+6m = 23\r<BR>\n" );
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document.write( "The next step is to combine like terms\r<BR>\n" );
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document.write( "We now have 7m - 26 = 23\r<BR>\n" );
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document.write( "Add 26 to each side of the equation so that\r<BR>\n" );
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document.write( "7m = 49.  Divide both sides of the equation by 7 so that m = 7\r<BR>\n" );
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document.write( "Substitute this value for m into the first equation to solve for n.\r<BR>\n" );
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document.write( "We now have 3*7+n=13\r<BR>\n" );
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document.write( "Therefore n = 13-3*7= 13-21 = -8\r<BR>\n" );
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document.write( "So m = 7 and n = -8\r<BR>\n" );
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document.write( " </SPAN>\n" );
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