document.write( "Question 1028919: Susan and Betsy bought sport supplies for summer camp. Susan bought six basketballs and one soccer ball for $27. Betsy bought four basketballs and two soccer balls for $22. How much do basketballs cost? How much do soccer balls cost? \n" ); document.write( "
Algebra.Com's Answer #643988 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "Make basketballs = x
\n" ); document.write( "Make soccer balls = y
\n" ); document.write( "6x + y = 27........(1)
\n" ); document.write( "4x + 2y = 22.......(2)
\n" ); document.write( "Multiply Eq(1) by 2
\n" ); document.write( "12x + 2y = 54......(1)
\n" ); document.write( "4x + 2y = 22.......(2)
\n" ); document.write( "Subtract Eq(2) from Eq(1)
\n" ); document.write( "8x = 32
\n" ); document.write( "x = 4
\n" ); document.write( "Substitute x = 4 into Eq(2)
\n" ); document.write( "4x + 2y = 22.......(2)
\n" ); document.write( "4(4) + 2y = 22
\n" ); document.write( "16 + 2y = 22
\n" ); document.write( "2y = 22 - 16
\n" ); document.write( "2y = 6
\n" ); document.write( "y = 3
\n" ); document.write( "Basketballs cost $4
\n" ); document.write( "Soccer balls cost $3
\n" ); document.write( "Hope this helps :-)
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