document.write( "Question 713389: Hello! My teacher gave us a worksheet involving systems of equations, it'd be really wonderful if you could help me. Thank you! :)\r
\n" ); document.write( "\n" ); document.write( "Ms. Jewell invests $5,000 at 5% interest and the rest at 3.9% interest. If she earned $233.50 in interest the first year, how much did she invest at each rate? \n" ); document.write( "

Algebra.Com's Answer #438411 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ms. Jewell invests $5,000, so x+y = 5000. Solve for y to get y = 5000 - x\r
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\n" ); document.write( "\n" ); document.write( "where x = amount invested at 5%, y = amount invested at 3.9%\r
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\n" ); document.write( "\n" ); document.write( "She earned $233.50 in interest, so\r
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\n" ); document.write( "\n" ); document.write( "0.05x + 0.039y = 233.50\r
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\n" ); document.write( "\n" ); document.write( "100*(0.05x + 0.039y) = 100*233.50\r
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\n" ); document.write( "\n" ); document.write( "5x + 39y = 23350\r
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\n" ); document.write( "\n" ); document.write( "5x + 39(5000 - x) = 23350\r
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\n" ); document.write( "\n" ); document.write( "I'll let you finish. Solve this for x. Then use the solution for x to find y. \n" ); document.write( "

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