document.write( "Question 397195: An executive invested $18,000 in two accounts, one a cash on reserve that yielded 7% simple interest, and the other a long-term certificate paying 11% simple interest. At the end of one year, the two accounts had earned her a total of $1540. How much had she invested in each account?” How do i set this up as an algebra equation? \n" ); document.write( "

Algebra.Com's Answer #281549 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"a\"$ = amount invested @ 7%
\n" ); document.write( "Let $\"b\"$ = amount invested @ 11%
\n" ); document.write( "given:
\n" ); document.write( "(1) $\".07a+%2B+.11b+=+1540\"$
\n" ); document.write( "(2) $\"a+%2B+b+=+18000\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"100\"$
\n" ); document.write( "(1) $\"7a+%2B+11b+=+154000\"$
\n" ); document.write( "Multiply both sides of (2) by $\"7\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"7a+%2B+11b+=+154000\"$
\n" ); document.write( "(2) $\"-7a+-+7b+=+-126000\"$
\n" ); document.write( " $\"4b+=+28000\"$
\n" ); document.write( " $\"b+=+7000\"$
\n" ); document.write( "and, from (2),
\n" ); document.write( " $\"a+%2B+7000+=+18000\"$
\n" ); document.write( " $\"a+=+11000\"$
\n" ); document.write( "$11,000 was invested @ 7%
\n" ); document.write( "$7,000 was invested @ 11%\r
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