document.write( "Question 1022150: Mandy buys 5 reams of paper and 3 ink cartridges for $131. Kevin buys 2 reams of paper and 5 ink cartridges for $174. How much does one ream of paper cost? How much does one ink cartridge cost? \n" ); document.write( "

Algebra.Com's Answer #637887 by addingup(3677) $\"\"$ $\"About$

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5x+3y = 131 (1)
\n" ); document.write( "2x+5y = 174 (2)
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\n" ); document.write( "Multiply both sides of (1) times 2 and both sides of (2) times 5 and then subtract (2) from (1):
\n" ); document.write( "10x+6y = 262
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\n" ); document.write( "10x+25y = 870
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\n" ); document.write( "-19y = -608 Divide both sides by -19 and remember that -/- = +
\n" ); document.write( "y = 32 is how much ink costs, and:
\n" ); document.write( "5x+3(32) = 131
\n" ); document.write( "5x+96 = 131 subtract 96 both sides
\n" ); document.write( "5x = 35 divide both sides by 5
\n" ); document.write( "x = 7 is how much each ream of paper costs
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\n" ); document.write( "Check: We used equation (1) to find x, so let's try our results on equation (2):
\n" ); document.write( "2(7)+5(32) = 174
\n" ); document.write( "14+160 = 174 We have the correct answer \n" ); document.write( "

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