document.write( "Question 681439: Fres Calibig invests a part of $17000 at 8% and the rest 9%. If the annual incomes from the two investments are equal, how much has he invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #422665 by mananth(16946)\"\" \"About 
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Part I 8.00% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 9.00% per annum ------------ Amount invested = y
\n" ); document.write( "Total= 17000
\n" ); document.write( "
\n" ); document.write( "Part I 8.00% per annum ---x
\n" ); document.write( "Part II 9.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x+y= 17000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "8.00% x = 9.00%
\n" ); document.write( "Multiply by 100
\n" ); document.write( "8 x = 9 y
\n" ); document.write( "8x-9y=0 --------2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1 x + 1 y = 17000 .............1
\n" ); document.write( "
\n" ); document.write( "8 x -9 y = 0 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 9
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "9 x 9 y = 153000
\n" ); document.write( "8 x -9 y = 0
\n" ); document.write( "Add the two equations
\n" ); document.write( "17 x = 153000
\n" ); document.write( "/ 17
\n" ); document.write( "x = 9000
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 17000
\n" ); document.write( "9000 + y = 17000
\n" ); document.write( " y = 17000 -9000
\n" ); document.write( " y = 8000
\n" ); document.write( " y = 8000
\n" ); document.write( "x= 9000 Part I
\n" ); document.write( "y= 8000 Part II
\n" ); document.write( "m.ananth@hotmail.ca
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