SOLUTION: 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

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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.
Answer by Edwin McCravy(20054) About Me  (Show Source):
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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.


100% of $X plus 100% of $Y equals $1000
  4% of $X plus   6% of $Y equals   $58

system%28X%2BY=1000%2C.04X%2B.06Y+=+58%29

To solve that clear the second equation of decimals by
multiplying through by 100:

system%28X%2BY=1000%2C4X%2B6Y+=5800%29

Solve that by either substitution or by elimination:

X = $100 at 4% and $900 at 6%

Edwin