Alg 1: 63 and 64 Elimination and Inverse Variation

Alg 1: 63 and 64 Elimination and Inverse Variation

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Solve the system. 

 $7x-4y=-3$  
 $-3x+4y=-1$  
Write your answer as an ordered pair. Use parentheses, no spaces. 

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Solve the system. Write your answer as an ordered pair, with parentheses. Use no spaces.

 $11x+6y=21$  
 $11x+4y=25$  

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Solve the system. Write your answer as an ordered pair, with parentheses. Use no spaces.

 $-2x+5y=6$  
 $6x-2y=34$  

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Solve the system. Write your answer as an ordered pair, with parentheses. Use no spaces.

 $-8x-3y=26$  
 $-5x-2y=16$  

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A movie theater sells 540 tickets to a matinee showing of a new animated feature. A child matinee ticket costs $5.50 and an adult matinee ticket costs $6.00. If the movie theater made $3060 for that showing, how many adult tickets were sold?

Multiple Choice

 $4y=x$  

• direct variation

• inverse variation

• neither

Remember:

 $4y=x$  

 $\frac{4y}{4}=\frac{x}{4}$  
 $y=\frac{x}{4}$  
which is the same as  $y=\frac{1}{4}x$  

Multiple Choice

 $3xy=9$  

• direct variation

• inverse variation

• neither

 $3xy=9$  

 $\frac{3xy}{3x}=\frac{9}{3x}$  divide both sides by 3x
 $y=\frac{9}{3x}$  
 $y=\frac{3}{x}$  inverse variation

Fill in the Blanks

If y varies inversely as x, and y = 3.5 when x = 20, find x when y = 10.