document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178308>Question 1178308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of solutions (x,y) of the equation ,3x+y=100, where x and y are positive integers, is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807523 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=807523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Solving the given equation for y gives<br><BR>\n" );
document.write( "y = 100-3x<br><BR>\n" );
document.write( "Since 100 and 3x are both positive integers, y will also be a positive integer, as long as 3x is less than 100.<br><BR>\n" );
document.write( "So as tutor @ikleyn says in her response, x can be any positive integer less than 100/3.<br><BR>\n" );
document.write( "That gives us 33 solutions to the given equation with x and y both positive integers.<br><BR>\n" );
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