document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288399>Question 288399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of three numbers is 14.the sum of twice the first number,5 times the second number,and 6 times the third number is 72.the difference between 5 times the first number and the second number is 6.find the three numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209069 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of three numbers is 14.<BR>\n" );
document.write( "the sum of twice the first number, 5 times the second number, and 6 times the <BR>\n" );
document.write( "third number is 72.<BR>\n" );
document.write( "the difference between 5 times the first number and the second number is 6.<BR>\n" );
document.write( "find the three numbers<BR>\n" );
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document.write( "Three numbers, x, y, z<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"the sum of three numbers is 14.\"<BR>\n" );
document.write( "x + y + z = 14<BR>\n" );
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document.write( "\"the sum of twice the first number, 5 times the second number,and 6 times the<BR>\n" );
document.write( " third number is 72.\"<BR>\n" );
document.write( "2x + 5y + 6z = 72<BR>\n" );
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document.write( "\"the difference between 5 times the first number and the second number is 6.\"<BR>\n" );
document.write( "5x - y = 6<BR>\n" );
document.write( "y = (5x-6); use this for substitution<BR>\n" );
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document.write( "Add 5x - y to the 1st equation<BR>\n" );
document.write( "x + y + z = 14<BR>\n" );
document.write( "5x- y + 0 = 6<BR>\n" );
document.write( "----------------- eliminates y<BR>\n" );
document.write( "6x + z = 20<BR>\n" );
document.write( "z = (20-6x); use this for substitution<BR>\n" );
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document.write( "Substitute in 2x + 5y + 6z = 72<BR>\n" );
document.write( "2x + 5(5x-6) + 6(20-6x) = 72<BR>\n" );
document.write( "2x + 25x- 30 + 120 - 36x = 72<BR>\n" );
document.write( "2x + 25x - 36x - 30 + 120 = 72<BR>\n" );
document.write( "-9x + 90 = 72<BR>\n" );
document.write( "-9x = 72 - 90<BR>\n" );
document.write( "-9x = -18<BR>\n" );
document.write( "x = +2<BR>\n" );
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document.write( "I'll let you find y and z, check your solution in the 1st equation\r<BR>\n" );
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