Homework Explained - Math Practice 101

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Chapter 8:Solving Systems of Linear Equations; Lesson1: Solving Systems of Linear Equations by Graphing

• Question 5

Vocabulary

A_________________ is a set of equations that have the same variables.

• Question 6

Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost$6 each and caps cost \$3 each.
a. Write a system of equations to describe the situation. Let $$x$$ represent the number of shirts and let $$y$$ represent the number of caps.

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• Question 6

b. Graph the system. What is the solution and what does it represent?

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• Question 7

Multistep The table shows the cost for bowling at two bowling alleys.

a. Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let $$x$$ represent the number of games played and let $$y$$ represent the total cost.

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• Question 7

b. Graph the system. What is the solution and what does it represent?

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