document.write( "Question 155943: I need to set up the 3 by 3 systems of linear equations and solve for them on the following word problem.\r
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document.write( "A theater has 500 seats divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all seats are sold, the revenue is $17,100. If all the main and balcony seats are sold, but only half the orchestra seats, the revenue is $14,600. How many are there of each kind of seat? \n" );
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Algebra.Com's Answer #114891 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! THE THREE EQUATIONS ARE: \n" ); document.write( "O+M+B=400 \n" ); document.write( "50*O+35*M+25*B=17,100 \n" ); document.write( "50*O/2+35*M++25*B=14,600 \n" ); document.write( " |