document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60802>Question 60802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve each system of equations by graphing\r<BR>\n" );
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document.write( "x+2y=4<BR>\n" );
document.write( "2x-3y=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41853 by </B><A HREF=/tutors/aboutme.mpl?userid=praseena><B>praseena(37)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseena><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "x+2y=4  ----------(1)\r<BR>\n" );
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document.write( "2x-3y=1  ---------(2)\r<BR>\n" );
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document.write( "multiply the first equation by 2 so that  x coefficient of x in both equations \r<BR>\n" );
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document.write( "will be same.\r<BR>\n" );
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document.write( "2( x + 2y ) =2*4\r<BR>\n" );
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document.write( "==>  2*x + 2* 2y =  8\r<BR>\n" );
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document.write( "==>  2x + 4y  = 8 ---------(3)\r<BR>\n" );
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document.write( " subtract the second equation from third equation.\r<BR>\n" );
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document.write( "==>     2x + 4y - ( 2x -3y ) = 8 - 1\r<BR>\n" );
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document.write( "==>     2x + 4y - 2x + 3y    = 7\r<BR>\n" );
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document.write( "==>        2x -2x + 4y + 3y  = 7\r<BR>\n" );
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document.write( "==>                       7y  = 7\r<BR>\n" );
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document.write( "==>      y  = 7/7\r<BR>\n" );
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document.write( "          y = 1\r<BR>\n" );
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document.write( "now substitute the value of y in any one of the equations.\r<BR>\n" );
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document.write( "let's take the first equation.\r<BR>\n" );
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document.write( "==> x + 2 * 1   =  4\r<BR>\n" );
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document.write( "==>     x + 2   = 4\r<BR>\n" );
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document.write( "==>          x  = 4 -2\r<BR>\n" );
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document.write( "==>           x = 2\r<BR>\n" );
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document.write( " so the solution for the given equations IS\r<BR>\n" );
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document.write( "   x = 2  and y = 1<BR>\n" );
document.write( " </SPAN>\n" );
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