document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30193>Question 30193</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Solve by using the Gaussian elimination method. For instance: \r<BR>\n" );
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document.write( "        5x+2y=3<BR>\n" );
document.write( "        3x+4y=13\r<BR>\n" );
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document.write( "I seem to always get stuck on the fractions. Please help in details so I know how to solve more problems like this. Thank You. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16869 by </B><A HREF=/tutors/aboutme.mpl?userid=ikdeep><B>ikdeep(226)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikdeep><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=ikdeep><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x+2y=3............(1)\r<BR>\n" );
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document.write( "3x+4y=13............(2)\r<BR>\n" );
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document.write( "For elimination we need one variable in both equation to be equal,,,but here we dnt have that,,,so further solution is done in the following ways...\r<BR>\n" );
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document.write( "Multiply (1) by  3 and you get ...<BR>\n" );
document.write( "15x + 6y = 9............(3)\r<BR>\n" );
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document.write( "Multiply (2) by 5 and you get <BR>\n" );
document.write( "15x + 20y = 65............(4)\r<BR>\n" );
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document.write( "Now , by elimination method and subtract (4) from (3)and we get...\r<BR>\n" );
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document.write( "15x + 6y  = 9............(3)<BR>\n" );
document.write( "15x + 20y = 65............(4)<BR>\n" );
document.write( "-   -       -<BR>\n" );
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document.write( "     - 14y = -56      (15x in both eqautions would be eliminated)<BR>\n" );
document.write( "  or     y = -56/-14<BR>\n" );
document.write( "         y = 4\r<BR>\n" );
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document.write( " now, substitute the value of y in any of the equation to get the value of x here I am taking (2)...\r<BR>\n" );
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document.write( "3x+4y=13............(2)<BR>\n" );
document.write( "putting the values of y = 4 ,,we get\r<BR>\n" );
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document.write( "3x + 4 * 4 = 13\r<BR>\n" );
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document.write( "3x + 16 = 13\r<BR>\n" );
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document.write( "3x = 13 - 16 \r<BR>\n" );
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document.write( "3x = -3 \r<BR>\n" );
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document.write( "x = -3/3\r<BR>\n" );
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document.write( "x = -1\r<BR>\n" );
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document.write( "Now if you wanna verify you answer ,,,you can put the values of x and y in any of the equation and if you get LHS=RHS,,,this means that you answer is correct..\r<BR>\n" );
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document.write( "hope this will help you \r<BR>\n" );
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document.write( "Please feel free to revert back for any further queries.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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