document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209224>Question 1209224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 2x-3y = 5, then find (9^x)/(27^y) = ?? </SPAN>\n" );
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document.write( "Answer: <font color=red>243</font>\r<BR>\n" );
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document.write( "Work Shown\r<BR>\n" );
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document.write( "(9^x)/(27^y)<BR>\n" );
document.write( "= ((3^2)^x)/((3^3)^y)<BR>\n" );
document.write( "= (3^(2x))/(3^(3y))<BR>\n" );
document.write( "= 3^(2x-3y)<BR>\n" );
document.write( "= 3^(5)<BR>\n" );
document.write( "= <font color=red>243</font>\r<BR>\n" );
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document.write( "We conclude that (9^x)/(27^y) = <font color=red>243</font> when 2x-3y = 5.\r<BR>\n" );
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document.write( "Another approach.\r<BR>\n" );
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document.write( "Pick any point on the line 2x-3y = 5. <BR>\n" );
document.write( "Let's say we pick the point (x,y) = (4,1). <BR>\n" );
document.write( "You can determine this point by looking at the graph, or do a bit of trial-and-error. \r<BR>\n" );
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document.write( "Note that 2x-3y = 2*4-3*1 = 8-3 = 5 which confirms (4,1) is on this line. <BR>\n" );
document.write( "This ordered pair makes 2x-3y = 5 true.\r<BR>\n" );
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document.write( "(9^x)/(27^y)<BR>\n" );
document.write( "= (9^4)/(27^1)<BR>\n" );
document.write( "= (6561)/(27)<BR>\n" );
document.write( "= <font color=red>243</font><BR>\n" );
document.write( "We arrive at the same answer.<BR>\n" );
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