MATH DIscovery EDUCATION- Solve Systems of Equations and Inequalities ТЕCHBOOK 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. Sy= 5x - 3 А. y= 3x – 5 Sx-y%3D6 В. 4x-y%3D3 Equation: Equation: Solution: ( Solution: ( 3. Graph the system and estimate the solution. Then solve for the exact solution. 5x -y=-2 A. Estimated Solution: B. Exact Solution: Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
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1, 2)
Discovery MATH
EDUCATION-
Solve Systems of Equations and Inequalities
ТЕCHBOOК
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.
(y=5x- 3
A.
Sx-y%3D6
y= 3x –5
В.
4x- y= 3
Equation:
Equation:
Solution: (_
Solution: (
3. Graph the system and estimate the solution. Then solve for the exact solution.
S5x-y3D-2
x-y=-5
A. Estimated Solution:
B. Exact Solution:
4. Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.
Transcribed Image Text:1, 2) Discovery MATH EDUCATION- Solve Systems of Equations and Inequalities ТЕCHBOOК 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. (y=5x- 3 A. Sx-y%3D6 y= 3x –5 В. 4x- y= 3 Equation: Equation: Solution: (_ Solution: ( 3. Graph the system and estimate the solution. Then solve for the exact solution. S5x-y3D-2 x-y=-5 A. Estimated Solution: B. Exact Solution: 4. Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.
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