document.write( "Question 1149548: Angel scored a total of 80 points in a basketball game against Jason. Angel made a total of 37 two-point
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document.write( "and three-point baskets. How many two-point shots did Angel make? How many three-point shots did he make?
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Algebra.Com's Answer #770876 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let x be the number of two-point baskets and y be the number of 3-point baskets \n" ); document.write( ": \n" ); document.write( "(1) x + y = 37 \n" ); document.write( ": \n" ); document.write( "(2) 2x +3y = 80 \n" ); document.write( ": \n" ); document.write( "solve equation 1 for x and substitute in equation 2 \n" ); document.write( ": \n" ); document.write( "x = 37 -y \n" ); document.write( ": \n" ); document.write( "2(37-y) +3y = 80 \n" ); document.write( ": \n" ); document.write( "74 -2y +3y = 80 \n" ); document.write( ": \n" ); document.write( "y = 80 -74 = 6 \n" ); document.write( ": \n" ); document.write( "x = 37 -6 = 31 \n" ); document.write( ": \n" ); document.write( "********************************************************* \n" ); document.write( "Angel made 31 two-point baskets and 6 three-point baskets \n" ); document.write( ": \n" ); document.write( "check answer by substituting x and y values in equation 2 \n" ); document.write( ": \n" ); document.write( "2(31) +3(6) = 80 \n" ); document.write( ": \n" ); document.write( "62 +18 = 80 \n" ); document.write( ": \n" ); document.write( "80 = 80 \n" ); document.write( ": \n" ); document.write( "answer checks \n" ); document.write( "********************************************************* \n" ); document.write( ": \n" ); document.write( " |