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) You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Eq 1) \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Eq 2) \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply Eq 2) by -3 and Eq 1) by 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Eq 3) \n" ); document.write( "\n" ); document.write( "Eq 4) \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then add 3) to 4) term by term:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And pens cost 80 cents.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |