document.write( "Question 157506: A basketball player scored 9 times during one game,. He scored a total of 10 points, two for each field goal and one for each free throw. How many fiels goals did he make? How many free throws?\r
\n" ); document.write( "\n" ); document.write( "Hoe many field goals did he make?\r
\n" ); document.write( "\n" ); document.write( "How many frr throws did he make
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #116062 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
Total shots: 9
\n" ); document.write( "Remember:
\n" ); document.write( "\"FG=x\" ---> no. fo field goals
\n" ); document.write( "\"FT=y\" ---> no. of free throws
\n" ); document.write( "In this data, we generate,\"x%2By=9\" --------------> eqn 1
\n" ); document.write( ".
\n" ); document.write( "Total points: 10
\n" ); document.write( "\"FG=2\" ---> field goal points per 1 shot
\n" ); document.write( "\"FT=1\" ---> free throw point per 1 shot
\n" ); document.write( "So it follows, \"2x%2B1y=10\" ----------------------------------> eqn 2
\n" ); document.write( "In eqn 1 we get, \"y=9-x\" -----------------------------------> eqn 3,
\n" ); document.write( "Substitute eqn 3 to eqn 2:
\n" ); document.write( "\"2x%2B9-x=10\"
\n" ); document.write( "\"x=10-9=highlight%281%29\" -------------> no. of field goals
\n" ); document.write( "In eqn 3: \"y=9-1=highlight%288%29\" ----> no. of free throws
\n" ); document.write( "In doubt? we go eqn 2:
\n" ); document.write( "\"2%281%29%2B1%288%29=10\"
\n" ); document.write( "\"2%2B8=10\"
\n" ); document.write( "\"10=10\" , total points scored
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\n" ); document.write( "
\n" );