document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498620>Question 498620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mrs. Brooks lacks 7 years from being 5 times as old as her son. Six years from now she will lack three years from being three times as old as her son is then. Find each of their ages.\r<BR>\n" );
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document.write( "I came up with 2 equations, but I'm not sure where to go from there!<BR>\n" );
document.write( "y = 5x - 7  and y + 6 = 3x - 3\r<BR>\n" );
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document.write( "Help me please! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337248 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=337248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let b = Mrs. B's present age<BR>\n" );
document.write( "Let s = son's present age<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
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document.write( "\"Mrs. Brooks lacks 7 years from being 5 times as old as her son.\"<BR>\n" );
document.write( "b = 5s - 7<BR>\n" );
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document.write( "\"Six years from now she will lack three years from being three times as old as her son is then.\"<BR>\n" );
document.write( "b + 6 = 3(s+6) - 3<BR>\n" );
document.write( "b + 6 = 3s + 18 - 3<BR>\n" );
document.write( "b + 6 = 3s + 15<BR>\n" );
document.write( "b = 3s + 15 - 6<BR>\n" );
document.write( "b = 3s + 9<BR>\n" );
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document.write( "Using the first equation we can replace b with (5s-7), so be have<BR>\n" );
document.write( "5s - 7 = 3s + 9<BR>\n" );
document.write( "5s - 3s = 9 + 7<BR>\n" );
document.write( "2s = 16<BR>\n" );
document.write( "s = 8 yrs is son's age<BR>\n" );
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document.write( "Find B's age<BR>\n" );
document.write( "b = 3(8) + 9<BR>\n" );
document.write( "b = 24 + 9<BR>\n" );
document.write( "b = 33 yrs <BR>\n" );
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document.write( "see if that checks out in the 1st statement<BR>\n" );
document.write( "\"Mrs. Brooks lacks 7 years from being 5 times as old as her son.\"<BR>\n" );
document.write( "33 = 5(8) - 7<BR>\n" );
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document.write( "Regarding your equations, I think the 1st equation is right, however in the 2nd,<BR>\n" );
document.write( "you did not recognize that they are speaking about the son's age in 6yrs also<BR>\n" );
document.write( "so it should have been y + 6 = 3(x+6) - 3<BR>\n" );
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document.write( "You are obviously on the right track and have an understanding of these kind of problems. C\r<BR>\n" );
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