Alg 2 Lesson 8.1 Systems of Linear Equations in 2 Variables

Lesson 8.1

Systems of Linear Equations in Two Variables

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Solve by the substitution method:

 $3x+2y=4$  

 $2x+y=1$  

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Solve by the addition method:

 $4x+5y=3$  

 $2x-3y=7$  

Multiple Choice

Solve by the addition method:

 $2x=9+3y$  
 $4y=8-3x$  

•  $\left(\frac{60}{17},\ -\frac{11}{17}\right)$  

•  $\left(60,\ -11\right)$  

• I don't know

• Not solvable

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Solve the system:
 $5x-2y=4$  
 $-10x+4y=7$  

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Solve the system:

 $x=4y-8$  
 $5x-20y=-40$  

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A company that manufactures running shoes has a fixed cost of $300,000. Additionally, it costs $30 to produce each pair of shoes. They are sold at $80 per pair.

a) Write the cost function, C, of producing x pairs of running shoes.

Fill in the Blank

A company that manufactures running shoes has a fixed cost of $300,000. Additionally, it costs $30 to produce each pair of shoes. They are sold at $80 per pair.

b) Write the revenue function, R, from the sale of x pairs of running shoes.

Open Ended

A company that manufactures running shoes has a fixed cost of $300,000. Additionally, it costs $30 to produce each pair of shoes. They are sold at $80 per pair.

c) Determine the break-even point. Describe what this means.