document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276494>Question 276494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP! SOLVE BY ADDITION METHOD. 3X-Y=11 AND 2X +5Y=13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201475 by </B><A HREF=/tutors/aboutme.mpl?userid=bamigbe20><B>bamigbe20(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bamigbe20><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=201475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find x and y where 3X-Y=11 AND 2X +5Y=13<BR>\n" );
document.write( " solution:\r<BR>\n" );
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document.write( "      3X - Y = 11 ...................(1)<BR>\n" );
document.write( "      2X + 5Y = 13 ..................(2)\r<BR>\n" );
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document.write( "To find x, we must look for a way of eliminating y. <BR>\n" );
document.write( " To do that we have to multiply equation 1 by 5, and equation 2 by 1.\r<BR>\n" );
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document.write( "i.e  5(3X - Y = 11)<BR>\n" );
document.write( "     1(2X + 5Y = 13)\r<BR>\n" );
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document.write( "    <BR>\n" );
document.write( " it will then give us:<BR>\n" );
document.write( "       15X - 5Y = 55 ...............(3)<BR>\n" );
document.write( "        2X + 5Y = 13 ...............(4)<BR>\n" );
document.write( "We add equation 3 and 4 together<BR>\n" );
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document.write( "       17X + 0 = 68      <BR>\n" );
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document.write( "  so, 17X = 68; We then divide both sides by 17.\r<BR>\n" );
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document.write( "      (17X)/17 = (68)/17\r<BR>\n" );
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document.write( "     we now have X = 68/17<BR>\n" );
document.write( "             and X = 4.\r<BR>\n" );
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document.write( "To get Y, we substitute X = 4 into equation 1, considering equation 1 only.\r<BR>\n" );
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document.write( "     3X - Y = 11<BR>\n" );
document.write( "     3(4) - Y = 11<BR>\n" );
document.write( "     12 - Y = 11<BR>\n" );
document.write( "   We collect like terms<BR>\n" );
document.write( "    -Y = 11 - 12<BR>\n" );
document.write( "    -Y = -1<BR>\n" );
document.write( " then we divide both sides by -1<BR>\n" );
document.write( "   <BR>\n" );
document.write( "     (-Y)/-1 = (-1)/-1<BR>\n" );
document.write( "      <BR>\n" );
document.write( "        Y = 1\r<BR>\n" );
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document.write( "Therefore X = 4 and Y = 1<BR>\n" );
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