document.write( "Question 1109502: At a basketball​ game, a team made 53 successful shots. They were a combination of​ 1-point and​ 2-point shots. The team scored 91 points in all. Write and solve a system of equations to find the number of each type of shot. \n" ); document.write( "
Algebra.Com's Answer #724499 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = number of 1 point shots
\n" ); document.write( "Let \"+b+\" = number of 2 point shots
\n" ); document.write( "------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+53+\"
\n" ); document.write( "(2) \"+1%2Aa+%2B+2%2Ab+=+91+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+a+%2B+2b+=+91+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-53+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+b+=+38+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+38+=+53+\"
\n" ); document.write( "(1) \"+a+=+15+\"
\n" ); document.write( "---------------------
\n" ); document.write( "There were 15 1-point shots and
\n" ); document.write( "38 2-point shots
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+a+%2B+2b+=+91+\"
\n" ); document.write( "(2) \"+15+%2B+76+=+91+\"
\n" ); document.write( "(2) \"+91+=+91+\"
\n" ); document.write( "OK
\n" ); document.write( "
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