document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=572584>Question 572584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I cannot get this please help<BR>\n" );
document.write( "solve using the substitution method<BR>\n" );
document.write( "4m+n=27<BR>\n" );
document.write( "m-3n=23 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368597 by </B><A HREF=/tutors/aboutme.mpl?userid=mathsmiles><B>mathsmiles(68)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathsmiles><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=mathsmiles><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (I think you're the same person I just helped with another substitution.)\r<BR>\n" );
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document.write( "What we want is to get one of the variables alone on one side of the equation.  Looking at the two equations, my choice is getting M by itself in the 2nd equation.\r<BR>\n" );
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document.write( "m-3n=23<BR>\n" );
document.write( "Add 3n to both sides and wallah!<BR>\n" );
document.write( "+3n  +3n<BR>\n" );
document.write( "m = 23 + 3n\r<BR>\n" );
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document.write( "Now, \"substitute\" this for m in the first equation  (aha you say!)<BR>\n" );
document.write( "4m + n = 27<BR>\n" );
document.write( "4(23+3n) + n = 27<BR>\n" );
document.write( "92 + 12n + n = 27<BR>\n" );
document.write( "92 + 13n = 27<BR>\n" );
document.write( "subtract 92 from both sides:<BR>\n" );
document.write( "-92       -92<BR>\n" );
document.write( "13n = -65<BR>\n" );
document.write( "Divide both sides by 13:<BR>\n" );
document.write( "n = -5\r<BR>\n" );
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document.write( "SOOOO,<BR>\n" );
document.write( "m = 23 + 3n<BR>\n" );
document.write( "m = 23 + 3(-5)<BR>\n" );
document.write( "m = 23 - 15<BR>\n" );
document.write( "m = 8\r<BR>\n" );
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document.write( "Checking:<BR>\n" );
document.write( "4(8) + -5 = 27<BR>\n" );
document.write( "32 - 5 = 27<BR>\n" );
document.write( "27 = 27  Correct<BR>\n" );
document.write( "8-3(-5) = 23<BR>\n" );
document.write( "8 + 15 = 23<BR>\n" );
document.write( "23 = 23  Correct!\r<BR>\n" );
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document.write( "I wish I had your textbook to look up elimination method and I could help you with that.  It's not the term I used and I'm afraid I'll misguide you.  If you could look that up and add it to one of your \"elimination\" method questions, I'll stay online a little longer.  \r<BR>\n" );
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document.write( "Smile!  You're going to get this!  You now know \"substitution\".  :-) </SPAN>\n" );
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