document.write( "Question 107541: If 10 pens and 15 markers cost $26, and 5 of the same pens and 10 of the same markers cost $16, find the cost of a pen. \n" ); document.write( "
Algebra.Com's Answer #78317 by solver91311(24713)\"\" \"About 
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This is a 2 linear equations in 2 variables problem. Let p be the cost of a pen and m be the cost of a marker.\r
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\n" ); document.write( "\n" ); document.write( "Eq 1) \"10p%2B15m=26\" and\r
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\n" ); document.write( "\n" ); document.write( "Eq 2) \"5p%2B10m=16\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply Eq 2) by -3 and Eq 1) by 2\r
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\n" ); document.write( "\n" ); document.write( "Eq 3) \"-15p-30m=-48\"\r
\n" ); document.write( "\n" ); document.write( "Eq 4) \"20p%2B30m=52\"\r
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\n" ); document.write( "\n" ); document.write( "Then add 3) to 4) term by term:\r
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\n" ); document.write( "\n" ); document.write( "\"5p=4\"\r
\n" ); document.write( "\n" ); document.write( "\"p=0.80\"\r
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\n" ); document.write( "\n" ); document.write( "And pens cost 80 cents.\r
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\n" ); document.write( "\n" ); document.write( "To check the answer, plug the 80 cents into Eq 1 or 2 to determine that markers cost $1.20, then\r
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\n" ); document.write( "\n" ); document.write( "\"10%2A0.8%2B15%2A1.20=26\" Check.\r
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