document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=435297>Question 435297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. This a problem I am having trouble with in my lesson called the \"Addition Method\". I have to find the solution to the system of equations or, in other words, the ordered pair that results from solving and substituting. I'm sure you already understand that though. :) Thanks in advance. (It is a multiple choice question so the 3 options are below where it says \"The solution to the system of equations is _____.\") \r<BR>\n" );
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document.write( "7x - 3y = 4<BR>\n" );
document.write( "2x - 4y = 1\r<BR>\n" );
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document.write( "The solution to the system of equations is _____.\r<BR>\n" );
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document.write( "--(13/34, -15/34)<BR>\n" );
document.write( "--(3/22, -7/22)<BR>\n" );
document.write( "--(13/22, 1/22)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301301 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=301301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7x - 3y = 4<BR>\n" );
document.write( "2x - 4y = 1<BR>\n" );
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document.write( "Note: Substitution is not the best way to <BR>\n" );
document.write( "solve this system<BR>\n" );
document.write( "of equations.<BR>\n" );
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document.write( "However:<BR>\n" );
document.write( "Solve the 2nd equation for \"y\":<BR>\n" );
document.write( "4y = 2x-1<BR>\n" );
document.write( "y = (2x-1)/4<BR>\n" );
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document.write( "Substitute that into the 1st equation and solve for \"x\":<BR>\n" );
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document.write( "7x -(3/4)(2x-1) = 4<BR>\n" );
document.write( "28x -3(2x-1) = 16<BR>\n" );
document.write( "28x-6x+3 = 16<BR>\n" );
document.write( "22x = 13<BR>\n" );
document.write( "x = 13/22<BR>\n" );
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document.write( "So I guess (13/22, 1/22) is the correct answer.<BR>\n" );
document.write( "Let's see.<BR>\n" );
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document.write( "Substitute for \"x\" in the 1nd equation and solve for \"y\":<BR>\n" );
document.write( "7x - 3y = 4<BR>\n" );
document.write( "7(13/22) - 3y = 4<BR>\n" );
document.write( "3y = (91/22)-(88/22)<BR>\n" );
document.write( "3y = 3/22<BR>\n" );
document.write( "y = 1/22<BR>\n" );
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document.write( "OK<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( " <BR>\n" );
document.write( "The solution to the system of equations is _____. <BR>\n" );
document.write( "--(13/34, -15/34)<BR>\n" );
document.write( "--(3/22, -7/22)<BR>\n" );
document.write( "--(13/22, 1/22)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );