document.write( "Question 1180529: at a basketball game, a team made 54 successful shots. they were a combination of 1- and 2- point shots team scored 90 points in all. write and solve a system of equations to find the number of each shot. \n" ); document.write( "

Algebra.Com's Answer #810221 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "at a basketball game, a team made 54 successful shots. they were a combination of 1- and 2- point shots
\n" ); document.write( "team scored 90 points in all. write and solve a system of equations to find the number of each shot.
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document.write( "Let x be the number of the 1-point shots and y be the number of the 2-point shots.\r\n" );
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document.write( "Then\r\n" );
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document.write( "    x +  y = 54    (1)\r\n" );
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document.write( "    x + 2y = 90    (2)\r\n" );
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document.write( "is your system of two equations to find two unknowns x and y.\r\n" );
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document.write( "Subtracting equation (1) from equation (2), you get\r\n" );
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document.write( "         2y - y = 90 - 54\r\n" );
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document.write( "           y    = 36\r\n" );
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document.write( "Then from equation (2), you get\r\n" );
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document.write( "    x = 54 - 36 = 18.\r\n" );
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document.write( "ANSWER.  18 of the 1-point shots and 36 of the 2-point shots.\r\n" );
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