document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=741915>Question 741915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The larger of two positive integers is three more than the smaller. If twice the square of the smaller integer is increased by three times the larger integer, the result is 74. Find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806399 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=806399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = y + 3<BR>\n" );
document.write( "2y^2 + 3x = 74\r<BR>\n" );
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document.write( "Substitute x = y + 3 into the second equation.\r<BR>\n" );
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document.write( "2y^2 + 3(y + 3) = 74<BR>\n" );
document.write( "2y^2 + 3y + 9 = 74<BR>\n" );
document.write( "2y^2 + 3y - 65 = 0<BR>\n" );
document.write( "(y - 5)(2y + 13) = 0<BR>\n" );
document.write( "y = 5, y = -13/2\r<BR>\n" );
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document.write( "y is a positive integer, so the integers are (x, y) = (8, 5) </SPAN>\n" );
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