document.write( "Question 1011034: Three dozen eggs and five loaves of bread cost $6.90; four
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document.write( "dozen eggs and two loaves of bread cost $5.70. Find the
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document.write( "prices for a dozen eggs and for a loaf of bread \n" );
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Algebra.Com's Answer #626588 by addingup(3677)![]() ![]() You can put this solution on YOUR website! eggs: x \n" ); document.write( "bread: y \n" ); document.write( "--------------------------------------------------------- \n" ); document.write( "3x+5y= 6.90 Multiply both sides times 2 \n" ); document.write( "4x+2y= 5.70 Multiply both sides times 5 and subtract from above: \n" ); document.write( "----------------------------------------- \n" ); document.write( "6x+10y= 13.80 \n" ); document.write( "- \n" ); document.write( "20x+10y= 28.50 \n" ); document.write( "---------------- \n" ); document.write( "-14x = -14.70 divide both sides by -14 \n" ); document.write( "x = 1.05 And now let's find y: \n" ); document.write( "3(1.05)+5y= 6.90 \n" ); document.write( "3.15+5y= 6.90 subtract 3.15 from both sides \n" ); document.write( "5y= 3.75 divide both sides by 5 \n" ); document.write( "y= 0.75 \n" ); document.write( "----------------------------------------------------- \n" ); document.write( "Check: \n" ); document.write( "3x+5y= 6.90; 3(1.05)+5(0.75)= 6.90. We have the correct answer. \n" ); document.write( "Now let's see if we can prove the other equation to be true as well: \n" ); document.write( "4x+2y= 5.70; 4(1.05)+2(0.75)= 5.70. Again we have the correct answer. \n" ); document.write( "A dozen eggs is $1.05 and a loaf of bread $0.75 \n" ); document.write( " \n" ); document.write( " |