document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150559>Question 1150559</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If you add​ Natalie's age and​ Fred's age, the result is 38. If you add​ Fred's age to 4 times​ Natalie's age, the result is 74. Write and solve a system of equations to find how old Fred and Natalie are. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771924 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=771924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The two equations, as shown by the other tutor, are indeed<br><BR>\n" );
document.write( "F+N = 38<BR>\n" );
document.write( "F+4N = 74<br><BR>\n" );
document.write( "But with the two equations in that form, using substitution is the long way around; the two equations are perfectly suited for solving by elimination.<br><BR>\n" );
document.write( "Subtracting the first equation from the second yields<br><BR>\n" );
document.write( "3N = 36<br><BR>\n" );
document.write( "which immediately gives us<br><BR>\n" );
document.write( "N = 12<br><BR>\n" );
document.write( "and then the first equation gives us<br><BR>\n" );
document.write( "F = 26<br><BR>\n" );
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