document.write( "Question 905243: Oliver invested $19,000 in two accounts. One earned 4% simple interest and the other 5.5% simple interest. If the interest earned in one year in the 4% account was $228 more than in the interest in the 5.5% account, how much was invested at each rate?
\n" ); document.write( "Please solve by writing a system of two equations with two variables. \n" ); document.write( "

Algebra.Com's Answer #549119 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
We know the total amount of money invested. $19000
\n" ); document.write( "x+y=19000,
\n" ); document.write( "We know that the difference in the two accounts is $228
\n" ); document.write( "0.055*x-0.04*y=228
\n" ); document.write( "x=19000-y
\n" ); document.write( "We substitute for x
\n" ); document.write( "0.055*(19000-y)-0.04*y=228
\n" ); document.write( "We multiply out
\n" ); document.write( "1045.0-0.055y-0.04*y=228
\n" ); document.write( "We combine like terms.
\n" ); document.write( "817.0=0.095*y
\n" ); document.write( "Isolate y
\n" ); document.write( "817.0
\n" ); document.write( "0.095
\n" ); document.write( "y=8600 at 4%
\n" ); document.write( "Calculate x
\n" ); document.write( "x=19000-8600
\n" ); document.write( "x=10400 at 5.5%
\n" ); document.write( "We check
\n" ); document.write( "0.055*10400-0.04*8600=228
\n" ); document.write( "572.0-344=228
\n" ); document.write( "228.0=228
\n" ); document.write( "Since this statement is TRUE and neither amount is negative then it is ok
\n" ); document.write( " \n" ); document.write( "

\n" );