To Solve: the system of linear equations to find the numbers of touchdowns and field that the home team scores.
Answer to Problem 15Q
Point (2,4).number of touchdowns= 2 and number of field goals = 4.
Explanation of Solution
Let x be number of touchdowns and y is number of field goals.
So x+y=6---------------------Equation 1
Touchdowns x are 7 points each and number of field goals are 3 points each. The total points must equal to 26.
Hence 7x+3y=26-----------Equation 2
Solve equation 1 and 2 by substitution.
Form equation 1 substitute x= -y+6
Equation 2 becomes 7(-y+6) +3y=26
-7y+42+3y=26
Combining like terms, we get -4y+42=26
-4y=-16
Hence y=4.
Substitute y=4 in x= -y+6
X=-4+6=2
Hence x=2.
Conclusion:
Point (2,4).number of touchdowns= 2 and number of field goals = 4
Chapter 5 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education