document.write( "Question 249649: Solve using elimination method or multiplication principle first.\r
\n" ); document.write( "\n" ); document.write( "A basketball player once scored 36 points on 22 shots in a game. Shooting only two-pointers and foul shots(one point). How many of each type of shot did he make?\r
\n" ); document.write( "\n" ); document.write( "Thanks for any help or guidance as this problem has me stumped!!
\n" ); document.write( "

Algebra.Com's Answer #181784 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
X+Y=22 OR X=22-Y NUMBER OF SHOTS TAKEN.
\n" ); document.write( "2X+Y=36 POINTS SCORED.
\n" ); document.write( "REPLACE X WITH (22-Y) & SOLVE FOR Y.
\n" ); document.write( "2(22-Y)+Y=36
\n" ); document.write( "44-2Y+Y=36
\n" ); document.write( "-Y=36-44
\n" ); document.write( "-Y=-8
\n" ); document.write( "Y=8 FOUL SHOTS WERE MADE.
\n" ); document.write( "X=22-8=14 TWO-POINTERS WERE MADE.
\n" ); document.write( "PROOF:
\n" ); document.write( "2*14+8=36
\n" ); document.write( "28+8=36
\n" ); document.write( "36=36
\n" ); document.write( "
\n" ); document.write( "
\n" );