document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141292>Question 141292</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>prentice hall algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve using a system of two equations in two variables?\r<BR>\n" );
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document.write( "Four years ago, Katie was twice as old as Anne was then.  In 6 years, Anne will be the same age as Katie is now.  How old is each now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102935 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=102935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve using a system of two equations in two variables? <BR>\n" );
document.write( "Four years ago, Katie was twice as old as Anne was then. In 6 years, Anne will be the same age as Katie is now. How old is each now?<BR>\n" );
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document.write( "Let katie's age not be \"k\"; Let Anne's age now be \"a\"<BR>\n" );
document.write( "4 yrs ago equation: k-4 = 2(a-4)<BR>\n" );
document.write( "6 yrs from now eq : k = a+6<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "2a-k =  4<BR>\n" );
document.write( " a-k = -6<BR>\n" );
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document.write( "Subtract the end equation from the first to get:<BR>\n" );
document.write( "a = 10 (anne's age now)<BR>\n" );
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document.write( "Substitute into a-k = -6 to solve for \"k\":<BR>\n" );
document.write( "10-k = -6<BR>\n" );
document.write( "k = 16 (katie's age now)<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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