document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894005>Question 894005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Johns mother is 8 more than twice his age. His father is three years older than his mother is. If the three family members have lived a total of 94 years, how old is each family member?\r<BR>\n" );
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document.write( "I've tried 94= m(8+2x) + 3f + j </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541684 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=8%2B2j ALIGN=MIDDLE  ALT=\"m=8%2B2j\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Johns mother is 8 more than twice his age;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=3%2Bm ALIGN=MIDDLE  ALT=\"f=3%2Bm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, His father is three years older than his mother is.;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%2Bm%2Bf=94 ALIGN=MIDDLE  ALT=\"j%2Bm%2Bf=94\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the three family members have lived a total of 94 years.\r<BR>\n" );
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document.write( "That is a system of three linear equations in three unknown variables.  Handle the solution any way you want:  Substitution, Elimination, or Matrix Operations.\r<BR>\n" );
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document.write( "Using matrix row operations, I found <b>f=36, j=25, m=33</b>\r<BR>\n" );
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document.write( "Starting matrix in form f,j,m,C:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A0%2C1%2C-1%2C-8%2C%0D%0A1%2C0%2C-1%2C3%2C%0D%0A1%2C1%2C1%2C94%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Final matrix after the row operations :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C1%2C0%2C0%2C36%2C0%2C1%2C0%2C25%2C0%2C0%2C1%2C33%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C4%2C1%2C0%2C0%2C36%2C0%2C1%2C0%2C25%2C0%2C0%2C1%2C33%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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