document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042626>Question 1042626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of x and y if 7^x+y=343 and 7^x-y=49? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657618 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=657618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of x and y if 7^x+y=343 and 7^x-y=49?<BR>\n" );
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document.write( "Note: 343 = 7^3<BR>\n" );
document.write( "49 = 7^2<BR>\n" );
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document.write( "7^(x+y) = 7^3<BR>\n" );
document.write( "7^(x-y) = 7^2<BR>\n" );
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document.write( "x+y = 3<BR>\n" );
document.write( "x-y = 2<BR>\n" );
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document.write( "Add and solve for \"x\"::<BR>\n" );
document.write( "2x = 5<BR>\n" );
document.write( "x = 5/2<BR>\n" );
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document.write( "y = x - 2 = (5/2)-2 = 1/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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