document.write( "Question 1122281: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS\r
\n" ); document.write( "\n" ); document.write( "the annual return on two investment totals P464. one investment gives 8% interest and the other 7.5%. how much money is invested at each rate if the total investment is P6000 \n" ); document.write( "
Algebra.Com's Answer #738377 by ikleyn(52788)\"\" \"About 
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document.write( "Let x = amount invested at 8%, in dollars.\r\n" );
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document.write( "Then the amount invested at 7.5% is the rest (6000-x) dollars.\r\n" );
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document.write( "The interest from the 8% amount is 0.08*x  dollars.\r\n" );
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document.write( "The interest from the 7.5%   amount is 0.075*(6000-x)   dollars.\r\n" );
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document.write( "Your equation is\r\n" );
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document.write( "    interest + interest      = total interest,   or\r\n" );
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document.write( "    0.08*x  + 0.075*(6000-x) = 464   dollars.\r\n" );
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document.write( "    x = \"%28464+-+0.075%2A6000%29%2F%280.08-0.075%29\" = 2800.\r\n" );
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document.write( "Answer.  The amount invested at 8% is $2800;  the rest  $6000-$2800 = $3200 is the amount invested at 7.5%.\r\n" );
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document.write( "Check.   0.08*2800 + 0.075*3200 = 464.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a typical and standard problem on investment.\r
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\n" ); document.write( "\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( "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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