document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945508>Question 945508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of three integers is 27. the sum of the first and second integers exceeds the third by 83. the third integer is 60 less than the first. find the three integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805800 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=805800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y + z = 27<BR>\n" );
document.write( "x + y = z + 83<BR>\n" );
document.write( "z = x - 60\r<BR>\n" );
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document.write( "Substitute z into the first two equations.\r<BR>\n" );
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document.write( "2x + y = 87<BR>\n" );
document.write( "x + y = x - 60 + 83 ----> y = 23\r<BR>\n" );
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document.write( "2x + 23 = 87<BR>\n" );
document.write( "x = (87-23)/2 = 32\r<BR>\n" );
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document.write( "z = 32 - 60 = -28\r<BR>\n" );
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document.write( "solution: (x, y, z) = (32, 23, -28) </SPAN>\n" );
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