document.write( "Question 65196: Will you please help me with this problem?\r
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document.write( "Write a system of two equations in two unknowns. Solve the system by using the addition method. « Mike paid $2.98 for three doughnuts and two coffees. The next day, he paid $1.64 for two doughnuts and one coffee. How much does it cost for one doughnut and one coffee? \r
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #45719 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Write a system of two equations in two unknowns. Solve the system by using the addition method. « Mike paid $2.98 for three doughnuts and two coffees. The next day, he paid $1.64 for two doughnuts and one coffee. How much does it cost for one doughnut and one coffee? \n" ); document.write( "------------------------- \n" ); document.write( "1st: 3d+2c=2.98 \n" ); document.write( "2nd: 2d+ c=1.64 \n" ); document.write( "---------------- \n" ); document.write( "Multiply 2nd by 2 to get: \n" ); document.write( "3rd: 4d+2c=3.28 \n" ); document.write( "------------- \n" ); document.write( "Subtract 1st from 3rd to get: \n" ); document.write( "d=0.30 ( Cost of one doughnut) \n" ); document.write( "---------------- \n" ); document.write( "Substitute into 2nd to solve for c, as follows: \n" ); document.write( "2(0.30)+c=1.64 \n" ); document.write( "c=1.04 (cost of one coffee) \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |