document.write( "Question 405986: Mr. Simon invests a total of $7003 in two savings accounts. One account yields 7.5% simple interest and the other 8.5% simple interest. He would like to find the amount placed in each account if a total of $582.33 in interest is received after one year. Write a system of linear equations to express this problem. \n" ); document.write( "
Algebra.Com's Answer #286610 by mananth(16946)\"\" \"About 
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TOTAL INVESTMENT GIVEN. FIND INDIVIDUAL AMOUNT
\n" ); document.write( "7.50% per annum ------------- x
\n" ); document.write( "8.50% per annum ------------ y
\n" ); document.write( "total investment $7003
\n" ); document.write( "Interest----- $582.33 \r
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\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "x+y= 7003 ------------------------1
\n" ); document.write( "7.50%x +8.50%y =$582.33
\n" ); document.write( "Multiply by 100
\n" ); document.write( "7.5x+8.5y=$58,233.00--------2
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\n" ); document.write( "Multiply (1) by -7.5
\n" ); document.write( "we get
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\n" ); document.write( "-7.5x-7.5y=-52522.5
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\n" ); document.write( "Add this to (2)
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\n" ); document.write( "0+1y=$5,710.50
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\n" ); document.write( "y=$5,710.50 investment at 8.50%
\n" ); document.write( "Balance $1,292.50investment at 7.50%\r
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\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca
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