1. Five Star Carz rents cars for $28 plus $0.05 per mile, and GoCars rents cars for $25 plus $0.07 per mile. Write a system equations that represents the scenario. Then use substitution to create one equation, and use it to determine the number of miles that will make the cost equal at both car rentals. of A. System: B. Substitute: C. At what number of miles will the cost the same?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.3: Elimination Using Addition And Subtraction
Problem 31PPS
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SCovery MATH
PEYENY TECHBOOK
Solve Systems of Equations and Inequalities
Name
Date
Check for Understanding
Solve Systems of Equations and Inequalities: Investigation 1
1. Five Star Carz rents cars for $28 plus $0.05 per mile, and GoCars rents cars for $25 plus $0.07 per mile.
Write a system of equations that represents the scenario. Then use substitution to create one equation, and
use it to determine the number of miles that will make the cost equal at both car rentals.
A. System:
B. Substitute:
C. At what number of miles will the cost the same?
2. Use substitution to create a single equation for each system, and then use the equation to solve the system.
Sy35x-3
Sx-y%36
A.
V=3x- 5
В.
4x-y=3
Equation:
Equation:
Solution: (
Solution: (
3. Graph the system and estimate the solution. Then solve for the exact solution.
5x-y=-2
しxーソ=-5
A. Estimated Solution:
B. Exact Solution:
Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.
Transcribed Image Text:SCovery MATH PEYENY TECHBOOK Solve Systems of Equations and Inequalities Name Date Check for Understanding Solve Systems of Equations and Inequalities: Investigation 1 1. Five Star Carz rents cars for $28 plus $0.05 per mile, and GoCars rents cars for $25 plus $0.07 per mile. Write a system of equations that represents the scenario. Then use substitution to create one equation, and use it to determine the number of miles that will make the cost equal at both car rentals. A. System: B. Substitute: C. At what number of miles will the cost the same? 2. Use substitution to create a single equation for each system, and then use the equation to solve the system. Sy35x-3 Sx-y%36 A. V=3x- 5 В. 4x-y=3 Equation: Equation: Solution: ( Solution: ( 3. Graph the system and estimate the solution. Then solve for the exact solution. 5x-y=-2 しxーソ=-5 A. Estimated Solution: B. Exact Solution: Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.
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