document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175921>Question 175921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each system by the addition method.\r<BR>\n" );
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document.write( "3/7x+5/9y=27<BR>\n" );
document.write( "1/9x+2/7y=7\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "3x-2.5y=7.125<BR>\n" );
document.write( "2.5x-3y=7.3125 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131084 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve each system by the addition method. <BR>\n" );
document.write( "3/7x+5/9y=27<BR>\n" );
document.write( "1/9x+2/7y=7 <BR>\n" );
document.write( "Since it says \"linear systems\" I'll assume 3/7x means (3/7)x<BR>\n" );
document.write( "(3x/7) + (5y/9) = 27  Do them like this to avoid ambiguities.<BR>\n" );
document.write( "(x/9) + (2y/7) = 7<BR>\n" );
document.write( "Multiply both eqns by 63 to eliminate fractions.<BR>\n" );
document.write( "27x + 35y = 1701<BR>\n" );
document.write( "7x + 18y = 441<BR>\n" );
document.write( "Multiply the 1st eqn by 7 and the 2nd by 27 to get 189x in both<BR>\n" );
document.write( "189x + 245y = 11907<BR>\n" );
document.write( "189x + 486y = 11907<BR>\n" );
document.write( "Subtract eqn 2 from eqn 1<BR>\n" );
document.write( "0x - 241y = 0<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "x = 11907/189<BR>\n" );
document.write( "x = 63<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "and <BR>\n" );
document.write( "3x-2.5y=7.125<BR>\n" );
document.write( "2.5x-3y=7.3125<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Multiply both by 16<BR>\n" );
document.write( "48x - 40y = 114<BR>\n" );
document.write( "40x - 48y = 117<BR>\n" );
document.write( "All integers now<BR>\n" );
document.write( "Multiply the 1st eqn by 5, the 2nd by 6<BR>\n" );
document.write( "240x - 200y = 570<BR>\n" );
document.write( "240x - 288y = 702<BR>\n" );
document.write( "Subtract the 2nd from the 1st<BR>\n" );
document.write( "0x + 88y = -132<BR>\n" );
document.write( "y = -1.5<BR>\n" );
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document.write( "Sub for y into 2.5x-3y=7.3125<BR>\n" );
document.write( "2.5x -3*(-1.5) = 7.3125<BR>\n" );
document.write( "2.5x + 4.5 = 7.3125<BR>\n" );
document.write( "2.5x = 2.8125<BR>\n" );
document.write( "x = 1.125\r<BR>\n" );
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document.write( " </SPAN>\n" );
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