document.write( "Question 209996:  I am stuggling with how to set this problem up in an equation to solve it.\r
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document.write( "Together, a baseball and a football weigh 1.25 pounds, the baseball and a soccer ball weigh 1.35 pounds, and the football and the soccer ball weigh 1.9 pounds.  How much does each of the balls weigh? \n" );
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| Algebra.Com's Answer #158699 by rapaljer(4671)     You can put this solution on YOUR website! You will have to write three equations with three unknowns. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let b = weight of baseball \n" ); document.write( " f = weight of football \n" ); document.write( " s = weight of soccer ball\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b+f=1.25 \n" ); document.write( "b+s=1.35 \n" ); document.write( "f+s=1.9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Start by subtracting the first equation minus the second equation.\r \n" ); document.write( "\n" ); document.write( "b+f=1.25 \n" ); document.write( "b+s=1.35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b-b+f -s = 1.25-1.35 \n" ); document.write( "f-s=-.1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now take this equation and add it to the third equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f-s=-.1 \n" ); document.write( "f+s=1.9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2f=1.8 \n" ); document.write( "f=.9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now go back to the first three equations:\r \n" ); document.write( "\n" ); document.write( "b+f=1.25 \n" ); document.write( "b+s=1.35 \n" ); document.write( "f+s=1.9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In the first equation, substitute f =.9 \n" ); document.write( "b+f=1.25 \n" ); document.write( "b+.9=1.25 \n" ); document.write( "b=1.25-.9 \n" ); document.write( "b=.35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In the second equation, substitute b.35 \n" ); document.write( "b+s=1.35 \n" ); document.write( ".35+s=1.35 \n" ); document.write( "s=1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check with the third equation\r \n" ); document.write( "\n" ); document.write( "f+s=1.9 \n" ); document.write( ".9+1=1.9 \n" ); document.write( "It checks!!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole Community College \n" ); document.write( "Altamonte Springs Campus \n" ); document.write( "Florida\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |