document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264508>Question 264508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one number is four greater than another number when three times the smaller number is added to twice the larger number the result is 43.\r<BR>\n" );
document.write( "\n" );
document.write( "Could you please give me the method to work it out i know the answer is 7 i just don't know how to get there. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194746 by </B><A HREF=/tutors/aboutme.mpl?userid=PRMath><B>PRMath(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PRMath><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=194746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Just break down what you are given, like this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "One number (make it \"x\") <BR>\n" );
document.write( "is (=) <BR>\n" );
document.write( "four greater (4 +) <BR>\n" );
document.write( "than another number (make it \"y\"):<BR>\n" );
document.write( "EQUATION:   x = 4 + y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when three times the smaller number (the smaller number is y, so 3 times y: 3y) is added (3y +)to <BR>\n" );
document.write( "twice the larger number (2 times the larger:  2x) <BR>\n" );
document.write( "the result is (=) 43.<BR>\n" );
document.write( "EQUATION:  3y + 2x = 43\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now you have TWO equations:  <BR>\n" );
document.write( "x = 4 + y<BR>\n" );
document.write( "3y + 2x = 43\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solve this system.  Do you see that x = 4 + y?   SO instead of \"X\" in the 2nd equation, put in 4 + y, like  this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3y + 2x = 43 (original equation)<BR>\n" );
document.write( "3y + 2(4 + y) = 43 (Plugged in 4 + y for the \"X\" variable)<BR>\n" );
document.write( "3y + 8 + 2y = 43 (distributed 2 to the 4 and 2 to the y)<BR>\n" );
document.write( "5y + 8 = 43 (combined like terms)<BR>\n" );
document.write( "5y = 35 (subtracted 8 from both sides to isolate the y)<BR>\n" );
document.write( "y = 7 (divided both sides by 5 to further isolate the y)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now we know y = 7.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Plug in 7 for the \"Y\" variable in the 1st equation\r<BR>\n" );
document.write( "\n" );
document.write( "x = 4 + Y<BR>\n" );
document.write( "x = 4 + 7<BR>\n" );
document.write( "x = 11.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Soooooooo one number is 7 and one number is 11.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "11 is 4 greater than 7 (the smaller number) and......\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3 times the smaller number (3)(7) is 21 added to 2 times the larger (2)(11) is 22, is 43.  \r<BR>\n" );
document.write( "\n" );
document.write( "21 + 22 = 43.  Yay. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I hope this helps you. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );