document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166175>Question 1166175</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following linear equations using the Elimination method and The Substitution method \r<BR>\n" );
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document.write( "1) X + 3 Y = 2             <BR>\n" );
document.write( "2X + 5 Y = 3    \r<BR>\n" );
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document.write( "2)  3X + 4 Y = 12  <BR>\n" );
document.write( "6X + 2 Y = 6   \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790680 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Solve the following linear equations using the Elimination method and The Substitution method<BR>\n" );
document.write( "1) X + 3 Y = 2<BR>\n" );
document.write( "2X + 5 Y = 3\r<BR>\n" );
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document.write( "2) 3X + 4 Y = 12<BR>\n" );
document.write( "6X + 2 Y = 6<BR>\n" );
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document.write( "First system is good to apply the Substitution method.\r\n" );
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document.write( "    X + 3Y = 2      (1)\r\n" );
document.write( "   2X + 5Y = 3      (2)\r\n" );
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document.write( "From equation (1), express  X = -3Y + 2.  Then substitute it into equation (2),  replacing X there.  \r\n" );
document.write( "You will get then\r\n" );
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document.write( "    2*(-3Y + 2) + 5Y = 3    (3)\r\n" );
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document.write( "It is equation for one single unknown Y. Simplify it step by step and find Y\r\n" );
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document.write( "    -6Y + 4 + 5Y = 3\r\n" );
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document.write( "    -Y           = 3 - 4 \r\n" );
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document.write( "     -Y          = -1\r\n" );
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document.write( "      Y          = 1.\r\n" );
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document.write( "Now substitute the found value  Y = 1  into equation (1)  to find X.\r\n" );
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document.write( "    X + 3*1 = 2,\r\n" );
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document.write( "or\r\n" );
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document.write( "    X + 3 = 2,\r\n" );
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document.write( "    X     = 2 - 3 = -1.\r\n" );
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document.write( "<U>ANSWER</U>.  The solution is  X= -1,  Y = 1.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Check it &nbsp;<U>on your own</U>&nbsp;  that the found values &nbsp;SATISFY &nbsp;the given equations.\r<BR>\n" );
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document.write( "I did this check MENTALLY for myself.\r<BR>\n" );
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document.write( "NEVER &nbsp;POST &nbsp;more than one problem/question/assignment per post,\r<BR>\n" );
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document.write( "otherwise in response you will get a terrible mess, &nbsp;from which it is &nbsp;IMPOSSIBLE &nbsp;to learn.\r<BR>\n" );
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