document.write( "Question 843415: Three pens and two notebooks cost $10.05. Two pens and three notebooks cost $10.45. How much would two pens and two notebooks cost? \n" ); document.write( "
Algebra.Com's Answer #508229 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! set p = price of pen \n" ); document.write( " n = price of notebook \n" ); document.write( "3p + 2n = 10.05 \n" ); document.write( "2p + 3n = 10.45 \n" ); document.write( "multiply top by 2 and bottom by -3 \n" ); document.write( "6p + 4n = 20.10 \n" ); document.write( "-6p -9n = -31.35 \n" ); document.write( "add equations \n" ); document.write( "-5n = -11.25 \n" ); document.write( "divide each side by -5 \n" ); document.write( "n = 2.25 \n" ); document.write( "Substitute 2.25 for n in 3p + 2n = 10.05 \n" ); document.write( "3p + 2(2.25) = 10.05 \n" ); document.write( "3p + 4.50 = 10.05 \n" ); document.write( "add -4.50 to each side \n" ); document.write( "3p = 5.55 \n" ); document.write( "p = 1.85 \n" ); document.write( " \n" ); document.write( " |