document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=418982>Question 418982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "My question is to be solved using simultaneous equations.<BR>\n" );
document.write( "Twelve years ago Jack was five times as old as Jill. In three years time Jill will be half of Jacks age. What are Jack and Jills present ages.\r<BR>\n" );
document.write( "\n" );
document.write( "So far I have a chart representing Jack and Jill down the left with age now, age -12 and age +3 across the top.\r<BR>\n" );
document.write( "\n" );
document.write( "The first equation is y-12=5(x-12) simplified to y=5x-48<BR>\n" );
document.write( "The second equation is x+3=0.5(y+3) simplified to x=0.5y-1.5\r<BR>\n" );
document.write( "\n" );
document.write( "That is as far as I have been able to progress. I am struggling with the fact both simplified equations still have a variable so cannot be substituted into another equation.\r<BR>\n" );
document.write( "\n" );
document.write( "Regards,\r<BR>\n" );
document.write( "\n" );
document.write( "Wayne </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293093 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jack's age now = x<BR>\n" );
document.write( "Jill's age now = y<BR>\n" );
document.write( "..<BR>\n" );
document.write( "12 years ago Jack = x-12<BR>\n" );
document.write( "Jill = y-12\r<BR>\n" );
document.write( "\n" );
document.write( "x-12=5(y-12)\r<BR>\n" );
document.write( "\n" );
document.write( "x-12=5y-60<BR>\n" );
document.write( "x-5y=-48......................1<BR>\n" );
document.write( "y+3 = 1/2 (x+3)<BR>\n" );
document.write( "2(y+3)=x+3<BR>\n" );
document.write( "2y+6=x+3<BR>\n" );
document.write( "2y-x=-3........................2\r<BR>\n" );
document.write( "\n" );
document.write( "....<BR>\n" );
document.write( "1	x	-5y	=	-48	.............1	<BR>\n" );
document.write( "-1	x	+	2y	=-3	.............2	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "multiply (1)by 					2			<BR>\n" );
document.write( "Multiply (2) by					5			<BR>\n" );
document.write( "2	x		-10	y	=	-96		<BR>\n" );
document.write( "-5	x	+	10	y	=	-15		<BR>\n" );
document.write( "								<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "								<BR>\n" );
document.write( "-3	x		=	-111		<BR>\n" );
document.write( "								<BR>\n" );
document.write( "/-3							<BR>\n" );
document.write( "								<BR>\n" );
document.write( "x=37						<BR>\n" );
document.write( "								<BR>\n" );
document.write( "plug value of x in (1)								<BR>\n" );
document.write( "								<BR>\n" );
document.write( "1	x	-5y=-48		<BR>\n" );
document.write( "37+-5y	=-48		<BR>\n" );
document.write( "-5y=-48	-37<BR>\n" );
document.write( "-5y=-85		<BR>\n" );
document.write( "y=17		<BR>\n" );
document.write( "								<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );