document.write( "Question 736146: A basketball player scored 18 times during one game. He scored a total of 30 points, which consists of 1 point free throws and 2 point baskets. How many one point free throws did he make? How many 2 point baskets did he make? \n" ); document.write( "
Algebra.Com's Answer #852637 by Edwin McCravy(20077)\"\" \"About 
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document.write( "You may be beginning to solve simultaneous equations.  If so,\r\n" );
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document.write( "Let x = the number of 1 point free throws\r\n" );
document.write( "Let y = the number of 2 point baskets.\r\n" );
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document.write( "A basketball player scored 18 times during one game.\r\n" );
document.write( "\"x%2By=18\"\r\n" );
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document.write( "He scored a total of 30 points, which consists of 1 point free throws and\r\n" );
document.write( "2 point baskets.\r\n" );
document.write( "\"1x%2B2y=30\"\r\n" );
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document.write( "So we have the system of equations, or 2 simultaneous equations.\r\n" );
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document.write( "\"system%28x%2By=18%2Cx%2B2y=30%29\"\r\n" );
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document.write( "Solve the first equation for a letter, say, x\r\n" );
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document.write( "\"x+=+18-y\"\r\n" );
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document.write( "We substitute (18-y) for x in the second equation:\r\n" );
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document.write( "\"x%2B2y=30\"\r\n" );
document.write( "\"%2818-y%29%2B2y=30\"\r\n" );
document.write( "\"18-y%2B2y=30\"\r\n" );
document.write( "\"18%2By=30\"\r\n" );
document.write( "\"y=30-18\"\r\n" );
document.write( "\"y=12\"   <-- number of 2 point baskets.\r\n" );
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document.write( "Substitute 12 for y in \"x=18-y\"\r\n" );
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document.write( "\"x=18-y\"\r\n" );
document.write( "\"x=18-12\"\r\n" );
document.write( "\"x=6\"   <--- number of 1 point free throws.\r\n" );
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document.write( "Edwin
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