document.write( "Question 1132826: sam and alex play in the same soccer team. last saturday alex scored 3 more goals than sam,but together they scored less than 9 goals. what are the possible number of goals alex scored? \n" ); document.write( "
Algebra.Com's Answer #749959 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
s = the number of goals sam scored.
\n" ); document.write( "a = the number of goals alex scored.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your equations are:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "s + a < 9
\n" ); document.write( "a = s + 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "replace a with s + 3 in the first equation to get s + s + 3 < 9
\n" ); document.write( "combine like terms to get 2s + 3 < 9
\n" ); document.write( "subtract 3 from both sides to get 2s < 6
\n" ); document.write( "divide both sides by 2 to get s < 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "sam scored less than 3 goals.
\n" ); document.write( "that means sam scored 0 or 1 or 2.
\n" ); document.write( "alex scored 3 more than sam.
\n" ); document.write( "that means alex scored 3 or 4 or 5.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "together they scored 3 or 5 or 7.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your solution is that alex scored 3 or 4 or 5 goals.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "sam could not have scored 3 goals, because then alex would have had to score 6 and 3 + 6 is equal to 9 which is not smaller than 9.\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" );