document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193397>Question 193397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ``Before, solving the problem, I just want to give you the heads up. It's <BR>\n" );
document.write( "Systems of Equation: Application. I can't find the specific title to relate <BR>\n" );
document.write( "with my story problems. My chapter in the book is Chapter Eight, Solving Systems by Substiution, Additional. Hope it helps!\r<BR>\n" );
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document.write( "*Two numbers are such that twice the first and 3 times the second is 31. When 4 times the second number is subtracted from 3 times the first number the result is 4. Find the two numbers.*  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145225 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=145225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the first number be a and the second number, b.<BR>\n" );
document.write( "From the problem description, you can write:<BR>\n" );
document.write( "2a+3b = 31 \"...(the sum of) twice the first number and 3 times the second is 31.\"<BR>\n" );
document.write( "3a-4b = 4 \"When 4 times the second number is subtracted from 3 times the first number the result is 4.\"<BR>\n" );
document.write( "So you have a system of equations in two unknowns, a and b.<BR>\n" );
document.write( "2a+3b = 31 Multiply this equation by 4.<BR>\n" );
document.write( "3a-4b = 4  Multiply this equation by 3.<BR>\n" );
document.write( "8a+12b = 124<BR>\n" );
document.write( "9a-12b = 12 Add these two equations.<BR>\n" );
document.write( "17a = 136 Divide both sides by 17<BR>\n" );
document.write( "a = 8 \r<BR>\n" );
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document.write( "2a+3b = 31<BR>\n" );
document.write( "2(8)+3b = 31<BR>\n" );
document.write( "16+3b = 31 Subtract 16 from both sides.<BR>\n" );
document.write( "3b = 15 Divide both sides by 3.<BR>\n" );
document.write( "b = 5.<BR>\n" );
document.write( "The two numbers are: 8 and 5 </SPAN>\n" );
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