document.write( "Question 419050: solve the system of equations using gaussian elimination or gauss-jordan elimination.
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document.write( "1. x-6y=23
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document.write( " 2x-6y=28\r
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document.write( "2. Ellen wishes to mix candy worth $3.44 per pound with candy worth $9.96 per pound to form 24 pounds of a mixture worth $8.33 per pound. How many pounds of the more expensive candy should she use?\r
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Algebra.Com's Answer #293129 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 1. x-6y=23 \n" ); document.write( " 2x-6y=28 \n" ); document.write( "..................\r \n" ); document.write( "\n" ); document.write( "x-6y=23 .............1 \n" ); document.write( "2x-6y=28.............2 \n" ); document.write( " \n" ); document.write( "multiply (1)by 1 \n" ); document.write( "Multiply (2) by -1 \n" ); document.write( "x-6y=23 \n" ); document.write( "-2x+6y= -28 \n" ); document.write( " \n" ); document.write( "Add the two equations \n" ); document.write( " \n" ); document.write( "-x=-5 \n" ); document.write( " \n" ); document.write( "/-1 \n" ); document.write( " \n" ); document.write( "x=5 \n" ); document.write( " \n" ); document.write( "plug value of x in (1) \n" ); document.write( " \n" ); document.write( "x-6y=23 \n" ); document.write( "5-6y=23 \n" ); document.write( "-6y=23-5 \n" ); document.write( "-6y=18 \n" ); document.write( "y=-3 \r \n" ); document.write( "\n" ); document.write( "..... \n" ); document.write( "2. Ellen wishes to mix candy worth $3.44 per pound with candy worth $9.96 per pound to form 24 pounds of a mixture worth $8.33 per pound. How many pounds of the more expensive candy should she use?\r \n" ); document.write( "\n" ); document.write( "3.44 ---------------- x \n" ); document.write( "9.96 ---------------- 24-x \n" ); document.write( "8.33 ---------------- 24 \n" ); document.write( "....................\r \n" ); document.write( "\n" ); document.write( "3.44x+9.96(24-x)=8.33*24 \n" ); document.write( "3.44x+239.04-9.96x=199.92 \n" ); document.write( "3.44x-9.96x=199.92-239.04 \n" ); document.write( "-6.52x =-39.12 \n" ); document.write( "/-6.52 \n" ); document.write( "x=6 pounds of $3.44 candy \n" ); document.write( "18 pounds of $9.96 candy \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |