document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=858971>Question 858971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there,\r<BR>\n" );
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document.write( "My question is the following: Given that 2^y = 16^(x – 3) and 3^(y+2) = 27^x, find the value of x + y\r<BR>\n" );
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document.write( "Thank you in advance for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517463 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=517463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Given that 2^y = 16^(x – 3) and 3^(y+2) = 27^x, find the value of x + y\r<BR>\n" );
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document.write( " 2^y = 16^(x – 3) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ey=+2%5E%284%28x-3%29%29 ALIGN=MIDDLE  ALT=\"2%5Ey=+2%5E%284%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "y=4(x-3)\r<BR>\n" );
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document.write( "y=4x-12\r<BR>\n" );
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document.write( "4x-y=12..................(1)\r<BR>\n" );
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document.write( "and 3^(y+2) = 27^x, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28y%2B2%29=3%5E%283x%29 ALIGN=MIDDLE  ALT=\"3%5E%28y%2B2%29=3%5E%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "y+2=3x\r<BR>\n" );
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document.write( "3x-y=2...................(2)\r<BR>\n" );
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document.write( "4	x		-1	y	=	12	.............1	<BR>\n" );
document.write( "Total value								<BR>\n" );
document.write( "3	x		-1	y	=	2	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		-1						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "-4	x		1	y	=	-12		<BR>\n" );
document.write( "3	x		-1	y	=	2		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-1	x				=	-10		<BR>\n" );
document.write( "/	-1							<BR>\n" );
document.write( "x	=	10						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "4	x		-1	y	=	12		<BR>\n" );
document.write( "40			-1	y	=	12		<BR>\n" );
document.write( "			-1	y	=	12		-40<BR>\n" );
document.write( "			-1	y	=	-28		<BR>\n" );
document.write( "				y	=	28		\r<BR>\n" );
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document.write( "x+y= 28+10=38\r<BR>\n" );
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document.write( "find the value of x + y<BR>\n" );
document.write( " </SPAN>\n" );
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