document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215265>Question 215265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would really appreciate anyone who would be willing to help me answer it!\r<BR>\n" );
document.write( "\n" );
document.write( "Vivian is 5 years older than Carmen. When Vivian's age is doubled and then subtracted from four times Carmen's age, the result is Carmen's present age, increased by 10. How old is each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162656 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write 2 Equations based on the information given. Let V=Vivian's age and C=Carmen's age:<BR>\n" );
document.write( "From the first sentence:<BR>\n" );
document.write( "Equation #1:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=C%2B5 ALIGN=MIDDLE  ALT=\"V=C%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "From the second sentence:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4C-2V=C%2B10 ALIGN=MIDDLE  ALT=\"4C-2V=C%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "Equation #2:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3C-2V=10 ALIGN=MIDDLE  ALT=\"3C-2V=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Now you have 2 equations with 2 unknowns. <BR>\n" );
document.write( "Substitute Equation #1 into Equation #2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3C-2%28C%2B5%29=10 ALIGN=MIDDLE  ALT=\"3C-2%28C%2B5%29=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for C:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3C-2C-10=10 ALIGN=MIDDLE  ALT=\"3C-2C-10=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C=20%29 ALIGN=MIDDLE  ALT=\"highlight%28C=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next, plug this value of C into Equation #1 and solve for V:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28V=25%29 ALIGN=MIDDLE  ALT=\"highlight%28V=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "As a final check, plug these results back into Equation #1 and Equation #2 to be sure they still hold true. I'll leave that part to you.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );