Explanation Given Information: Total 29 points were made. Four more 2 − point basket was scored than 3 − point baskets. And the number of free throws is one less than the number of 2 − Point baskets. Formula used: Step 1: Convert the equations in standard form A x +B y +C z =D . Step 2: From a pair of equation eliminate one variable by using the addition method. Step 3: Now eliminate the same variable from a different pair of equations. Step 4: After the completion of step2 and step3, we have two equations in two variables, solve these equations by substitution or addition method. Step 5: Put values of a variable from step4 into any of the equation that has the third variable. Then get the value of the third variable. Calculation: Let x be the number of free throws made is, y be the number of 2 − points shots made is and z be the number of 3 − points shots made. According to the question, the equations are as follows: x + 2 y + 3 z = 29 ………… (1) y = z + 4 ………… (2) x = y − 1 ………… (3) Multiply the equation (2) with 3 and add to the equation (1) to eliminate z : x + 2 y + 3 z = 29 3 y − 3 z

5th Edition

ISBN: 9781259616754

Author: Julie Miller, Molly O'Neill, Nancy Hyde

Publisher: McGraw-Hill Education

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Chapter 4.6, Problem 19PE

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To calculate: In basketball game, the free throws, 2− point shots, and 3− point shots were made. Total 29 points are scored in one game. The baskets are worth of 1, 2, and 3 points. Four more 2− point basket was scored than 3− point baskets. The number of free throws is one less than the number of 2− Point baskets.

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Chapter 4.6, Problem 18PE

Chapter 4.6, Problem 20PE

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Solution Summary: The author calculates the number of free throws, 2- point shots, and 3- points shots made in a basketball game.

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