document.write( "Question 403597: Gunther invested $10,000 in two mutual funds. One of the funds rose 6 percent in one year and the other rose 9 percent in one year. If Gunthers investment rose a total of $684 in one year, how much did he invest in each mutual fund? \r
\n" ); document.write( "\n" ); document.write( "Yes, this is my son's 7th graded algebra homework. He's learning to solve systems of equations so my first inclination is to .06x +.09y=684 and x + y = 10,000 \n" ); document.write( "
Algebra.Com's Answer #285353 by mananth(16946)\"\" \"About 
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Yes, this is my son's 7th graded algebra homework. He's learning to solve systems of equations so my first inclination is to .06x +.09y=684 and x + y = 10,000\r
\n" ); document.write( "\n" ); document.write( "0.06x +0.09y=684 ...........1
\n" ); document.write( "x + y = 10,000 ............2\r
\n" ); document.write( "\n" ); document.write( "...
\n" ); document.write( "multiply (1) by 100
\n" ); document.write( "we get
\n" ); document.write( "6x+9y=68400................3\r
\n" ); document.write( "\n" ); document.write( "Multiply (2) by -6
\n" ); document.write( "we get
\n" ); document.write( "-6x-6y=-60000.............4\r
\n" ); document.write( "\n" ); document.write( "Add (3) & (4)\r
\n" ); document.write( "\n" ); document.write( "6x-6x+9y-6y=68,400-60,000
\n" ); document.write( "3y=8,400
\n" ); document.write( "/3
\n" ); document.write( "y=2800
\n" ); document.write( "So x= 7,200 \n" ); document.write( "
\n" );