document.write( "Question 205901: I need help making a system of equations based on a word problem, this is the problem: Helen invested a total of $1,000 in two simple interest accounts. One account paid 4% annual interest; the other paid 6% annual interest. The total amount of interest earned was $58. Write and solve a system of equations to find the amount invested in each account. \n" ); document.write( "
Algebra.Com's Answer #155468 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
I need help making a system of equations based on a word problem, this is the problem: Helen invested a total of $1,000 in two simple interest accounts. One account paid 4% annual interest; the other paid 6% annual interest. The total amount of interest earned was $58. Write and solve a system of equations to find the amount invested in each account.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "100% of $X plus 100% of $Y equals $1000\r\n" );
document.write( "  4% of $X plus   6% of $Y equals   $58\r\n" );
document.write( "\r\n" );
document.write( "\"system%28X%2BY=1000%2C.04X%2B.06Y+=+58%29\"\r\n" );
document.write( "\r\n" );
document.write( "To solve that clear the second equation of decimals by\r\n" );
document.write( "multiplying through by 100:\r\n" );
document.write( "\r\n" );
document.write( "\"system%28X%2BY=1000%2C4X%2B6Y+=5800%29\"\r\n" );
document.write( "\r\n" );
document.write( "Solve that by either substitution or by elimination:\r\n" );
document.write( "\r\n" );
document.write( "X = $100 at 4% and $900 at 6%\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );