document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149217>Question 149217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x + 5y = 2<BR>\n" );
document.write( "2x - 2y = -12<BR>\n" );
document.write( "I am completely stuck on how to go about doing this problem.<BR>\n" );
document.write( "I think that the Solutions x and y are always intergers between 5 and -5. <BR>\n" );
document.write( "I dont understand how to do the substitution.. im used to X or Y being alone with no other number.\r<BR>\n" );
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document.write( "x = ?<BR>\n" );
document.write( "Y = ? \r<BR>\n" );
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document.write( "If you could, please show me a few steps on How to get the answer<BR>\n" );
document.write( "to this problem.<BR>\n" );
document.write( "I would greatly appreciate your help <BR>\n" );
document.write( "Thank You, <BR>\n" );
document.write( "Kerry G </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109465 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x + 5y = 2   (equation 1)<BR>\n" );
document.write( "2x - 2y = -12 (equation 2)<BR>\n" );
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document.write( "This site describes the \"substitution method\" quite well:<BR>\n" );
document.write( "http://www.purplemath.com/modules/systlin4.htm<BR>\n" );
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document.write( "Solve equation 2 for x:<BR>\n" );
document.write( "2x - 2y = -12<BR>\n" );
document.write( "2x = 2y -12<BR>\n" );
document.write( "x = y - 6<BR>\n" );
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document.write( "Using the above definition of x, we plug it in to equation 1 and solve for y:<BR>\n" );
document.write( "2x + 5y = 2<BR>\n" );
document.write( "2(y - 6) + 5y = 2<BR>\n" );
document.write( "2y - 12 + 5y = 2<BR>\n" );
document.write( "7y - 12 = 2<BR>\n" );
document.write( "7y = 14<BR>\n" );
document.write( "y = 2<BR>\n" );
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document.write( "Plug the above back into equation 2 and solve for x:<BR>\n" );
document.write( "2x - 2y = -12<BR>\n" );
document.write( "2x - 2(2) = -12<BR>\n" );
document.write( "2x - 4 = -12<BR>\n" );
document.write( "2x = -8<BR>\n" );
document.write( "x = -4<BR>\n" );
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document.write( "Solution: <BR>\n" );
document.write( "x = -4<BR>\n" );
document.write( "y = 2<BR>\n" );
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