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)![]() ![]() You can put this solution on YOUR website! 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 :-) \n" ); document.write( " |