document.write( "Question 1109000: Helene invested a total of $1000 in 2 simple interest bank accounts. One paid %5 annual interest the other paid %6 annual interest. The total amount of interest she earned after 1 year was $58. Find the amount she invested in each account \n" ); document.write( "
Algebra.Com's Answer #724018 by ikleyn(52898)\"\" \"About 
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document.write( "    x +     y = 1000,     (1)\r\n" );
document.write( "0.05x + 0.06y =   58.     (2)\r\n" );
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document.write( "From (1), express y = 1000-x  and then substitute it into (2)\r\n" );
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document.write( "0.05x + 0.06*(1000-x) = 58\r\n" );
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document.write( "0.05x + 60 - 0.06x = 58\r\n" );
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document.write( "-0.01x = 58 - 60 = -2  ====>  x = \"%28-2%29%2F%28-0.01%29\" = \"200%2F1\" = 200.\r\n" );
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document.write( "Answer.  $200 was invested at 5%.   The rest  $1000 - $200 = $800 was invested at 6%.\r\n" );
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document.write( "Check.   200*0.05 + 800*0.06 = 58.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.   //   I used the Substitution method to solve the system of 2 equations in 2 unknowns.\r
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\n" ); document.write( "To see many other similar solved problems on investment, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "You will find there different approaches (using one equation or a system of two equations in two unknowns), as well as
\n" ); document.write( "different methods of solution to the equations (Substitution, Elimination).\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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