Solving Systems of Equations Graphically

Select the graph that matches the system of equations.  AND, select the correct solution to the system. 

 $y\ =\ \frac{1}{2}x\ +\ 2$  

 $y\ =\ 2x\ -\ 1$  

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• 
• (2, 3)

• (-2, 3)

Select the graph that matches the system of equations. AND, select the correct solution to the system.

 $y\ =\ 3x\ -\ 4$  
 $y\ =\ \frac{5}{3}x$  

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• (2, 2)

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• (3, 5)

Select the graph that matches the system of equations. AND, select the correct solution to the system.

 $y\ =\ x\ +\ 2$  
 $y\ =\ 2x\ +\ 1$  

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• (1, 3)

• 
• (1, 0 )

Select the graph that matches the system of equations. AND, select the correct solution to the system.

 $y\ =\ -\frac{3}{2}x\ +\ 2$  
 $y\ =\ \frac{1}{2}x\ -\ 2$  

• (2, -1)

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• (-2, -1)

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Select the graph that matches the system of equations. AND, select the correct solution to the system.

 $y\ =\ 2x\ -\ 1$  

 $y\ =\ 2x\ +\ 3$  

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• No solution

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• (4, 7)

Select the graph that matches the system of equations. AND, select the correct solution to the system.

 $y\ =\ x\ -\ 2$  
 $y\ =\ -x\ +\ 4$  

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• (-3, 1)

• (3, 1)

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Select the graph that matches the system of equations. AND, select the correct solution to the system.

 $y\ =\ 4x\ +\ 3$ 
 $y\ =\ \frac{2}{3}x\ +\ 3$  

• (3, 1)

• (0, 3)

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• 

Select the graph that matches the system of equations. AND, select the correct solution to the system.

 $y\ =\ 3x\ -\ 2$ 
 $y\ =\ -2\ +\ 3x$  

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• Infinitely Many Solutions

• No Solution

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Gym A charges a $70 sign-up fee and an additional $20 per month. Gym B only charges a $10 sign-up fee, but charges a $40 monthly membership fee. What are the equations that represent each membership?

• $A:\ \ y\ =\ 70x\ +\ 20$
  $B:\ \ y\ =\ 10x\ +\ 40$
  

• $A:\ \ y\ =\ 20x\ -\ 70$
  $B:\ \ y\ =\ 40x\ -\ 10$
  

• $A:\ \ y\ =\ 20x\ +\ 70$
  $B:\ \ y\ =\ 40x\ +\ 10$

• $A:\ \ y\ =\ 70x\ -\ 20$
  $B:\ \ y\ =\ 10x\ -\ 40$
  

Using the equations that represent the gym memberships, which graph AND solution is correct? Select all that apply.

• 
• 
• (3, 130)

• (0, 40)