Write a system of equations to represent the situation and solve using Substitution Method. The Fabulous Footballers scored an incredible 55 points at last night's game. Interestingly, the number of field goals was 1 more than twice the number of touchdowns. The Fabulous Footballers earned 7 points for each touchdown and 3 points for each field goal. How many touchdowns and how many field goals did they score?

Write a system of equations to represent the situation and solve using Substitution Method. The Fabulous Footballers scored an incredible 55 points at last night's game. Interestingly, the number of field goals was 1 more than twice the number of touchdowns. The Fabulous Footballers earned 7 points for each touchdown and 3 points for each field goal. How many touchdowns and how many field goals did they score?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter5: Solving Systems Of Linear Equations

Section5.4: Solving Special Systems Of Linear Equations

Problem 15Q

See similar textbooks

Similar questions

Write an application problem similar to Example5.37 using the ages of two of your friends or family members. Then translate to a system of equations and solve it.
Write an application problem similar to Example 4.14. Then translate to a system of equations and solve it.
Translate to a system of equations and then solve: Mario wants to put a rectangular fence around the pool in his backyard. Since one side is adjacent to the house, he will only need to fence three sides. There are two long sides and the one shorter side is parallel to the house. He needs 155 feet of fencing to enclose the pool. The length of the long side is 10 feet less than twice the width. Find the length and width of the pool area to be enclosed.
Translate to a system of equations and then solve: Alexis wants to build a rectangular dog run in her yard adjacent to her neighbor’s fence. She will use 136 feet of fencing to completely enclose the rectangular dog run. The length of the dog run along the neighbor’s fence will be 16 feet less than twice the width. Find the length and width of the dog run.
Given a system of equations, explain at least two different methods of solving that system.
Write a system of three equations in three variables with an infinite number of solutions.