document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148189>Question 1148189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5^x+5^y=150, x-y=1, Solve Simultaneously </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #769548 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=769548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "By inspection....<br><BR>\n" );
document.write( "We need to add two powers of 5 to get a sum of 150.  Since that sum is a whole number, the powers have to be integers.<br><BR>\n" );
document.write( "5^1 = 5<BR>\n" );
document.write( "5^2 = 25<BR>\n" );
document.write( "5^3 = 125<br><BR>\n" );
document.write( "25+125 = 150; so x and y are 2 and 3.<br><BR>\n" );
document.write( "Then, since we are told that x-y=1, x is 3 and y is 2.<br><BR>\n" );
document.write( "If you need an algebraic solution....<br><BR>\n" );
document.write( "x-y=1 --> x = y+1<br><BR>\n" );
document.write( "Then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5Ex%2B5%5Ey=150 ALIGN=MIDDLE  ALT=\"5%5Ex%2B5%5Ey=150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28y%2B1%29%2B5%5Ey+=+150 ALIGN=MIDDLE  ALT=\"5%5E%28y%2B1%29%2B5%5Ey+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%285%5Ey%29%2B5%5Ey+=+150 ALIGN=MIDDLE  ALT=\"5%2A%285%5Ey%29%2B5%5Ey+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A5%5Ey+=+150 ALIGN=MIDDLE  ALT=\"6%2A5%5Ey+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5Ey+=+25 ALIGN=MIDDLE  ALT=\"5%5Ey+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2 ALIGN=MIDDLE  ALT=\"y+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+y%2B1+=+3 ALIGN=MIDDLE  ALT=\"x+=+y%2B1+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );