document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90768>Question 90768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by substitution.<BR>\n" );
document.write( "	x + y = 12<BR>\n" );
document.write( "        y = 2x\r<BR>\n" );
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document.write( "Solve the system by addition.<BR>\n" );
document.write( "	5x – 3y = 13<BR>\n" );
document.write( "	4x – 3y = 11<BR>\n" );
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document.write( "         Solve the system by substitution.<BR>\n" );
document.write( "x + y = 12<BR>\n" );
document.write( "y = 2x \r<BR>\n" );
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document.write( "Solve the system by addition.<BR>\n" );
document.write( "5x – 3y = 13<BR>\n" );
document.write( "4x – 3y = 11\r<BR>\n" );
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document.write( "   1) x+y = 12.....(1)\r<BR>\n" );
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document.write( "       y = 2x.......(2) \r<BR>\n" );
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document.write( "        substitute  for y in (1)\r<BR>\n" );
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document.write( "          x+2x = 12 <BR>\n" );
document.write( "            3x = 12   or x = 12/3 = 4 \r<BR>\n" );
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document.write( "          y = 2*4 = 8\r<BR>\n" );
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document.write( "   The    required solution is x = 4  and y = 8\r<BR>\n" );
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document.write( "  2)5x-3y =13.....(1)\r<BR>\n" );
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document.write( "    4x-3y = 11.....(2)\r<BR>\n" );
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document.write( "       multiply (2) by -1 and add to (1)\r<BR>\n" );
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document.write( "            5x-3y = 13<BR>\n" );
document.write( "           -4x+3y = -11<BR>\n" );
document.write( "      we get x = 2  because -3y   &  3y gets cancelled\r<BR>\n" );
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document.write( "           substitute for x in (1)\r<BR>\n" );
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document.write( "             5*2-3y = 13\r<BR>\n" );
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document.write( "             10-13 = 3y<BR>\n" );
document.write( "                 3y = -3  or  y = -1\r<BR>\n" );
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document.write( "        The solution is x = 2   and y = -1 </SPAN>\n" );
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