document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80663>Question 80663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by addition.\r<BR>\n" );
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document.write( "2x + 4y = 3<BR>\n" );
document.write( "4x - 2y = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57839 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "Solve the system by addition.\r<BR>\n" );
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document.write( "2x + 4y = 3<BR>\n" );
document.write( "4x - 2y = 1\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "Name the given equations as follows:\r<BR>\n" );
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document.write( "2x + 4y = 3 -----------------(1)\r<BR>\n" );
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document.write( "4x - 2y = 1 -----------------(2)\r<BR>\n" );
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document.write( "Multiply the second equation with 2.\r<BR>\n" );
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document.write( "==> 2(4x - 2y ) = 2* 1\r<BR>\n" );
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document.write( "==> 2*4x - 2*2y = 2\r<BR>\n" );
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document.write( "==> 8x - 4y = 2 --------------(3)\r<BR>\n" );
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document.write( "Now consider equation (1) and (3)\r<BR>\n" );
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document.write( "2x + 4y = 3 -----------------(1)\r<BR>\n" );
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document.write( "8x - 4y = 2 -----------------(3)\r<BR>\n" );
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document.write( "Add (1) and (3)...then we have,\r<BR>\n" );
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document.write( "2x + 4y + 8x - 4y = 3 + 2\r<BR>\n" );
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document.write( "==> 2x + 8x + 4y - 4y = 5\r<BR>\n" );
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document.write( "==> 10x + 0 = 5\r<BR>\n" );
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document.write( "==> 10x = 5\r<BR>\n" );
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document.write( "Now divide both sides of the equation by 10.\r<BR>\n" );
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document.write( "==> 10x/10 = 5/10\r<BR>\n" );
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document.write( "==> x = 1/2\r<BR>\n" );
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document.write( "Now substitute the value x = 1/ in any of the given equations.\r<BR>\n" );
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document.write( "Let's take equation (1).\r<BR>\n" );
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document.write( "==> 2*(1/2)+ 4y = 3\r<BR>\n" );
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document.write( "==> 1 + 4y = 3\r<BR>\n" );
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document.write( "Subtract 1 from both sides of the expression.\r<BR>\n" );
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document.write( "==> 1 + 4y -1 = 3 - 1\r<BR>\n" );
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document.write( "==> 4y = 2\r<BR>\n" );
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document.write( "Divide both sides of the equation by 4.\r<BR>\n" );
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document.write( "==> 4y/4 = 2/4\r<BR>\n" );
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document.write( "==> y = 1/2\r<BR>\n" );
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document.write( "So the solution for the given pair of equation is \r<BR>\n" );
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document.write( "x = 1/2  and y = 1/2.\r<BR>\n" );
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document.write( "Hope you understood.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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