Math121 discussion - 2nd week - entree and nothing else The...

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MATH 121 DISCUSSION WEEK 2 WORKSHEET 1) Consider the system of equations below. 2 x + 3 y = 6 5 x - 4 y = - 31 (1) Graph 2 x + 3 y = 6. What are the x and y-intercepts? (2) Determine if the point ( 8 5 , 39 4 ) is on the graph of 5 x - 4 y = - 31. (3) Find the solution to the system of equations above. 2) Consider the system of equations below. 3 x - y = 14 9 x - 3 y = 2 (1) Is the ordered pair ( 1 5 , - 67 5 ) a solution to this system? (2) What is the solution to this system? 3) Consider the system of equations below. 1 2 x + 1 7 y = 2 14 x + 4 y = 56 Find a general solution to the system. Express it in two different ways. 4) A group of friends went out to dinner. Each person ordered either one beef entree or one fish
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Unformatted text preview: entree and nothing else. The beef entree costs $7.00 and the fish entree costs $9.50. Excluding tax and tip, the group spent a total of $106.00. The number of individuals who ordered beef was exactly five less than twice the number of people who ordered fish. How many total individuals went to dinner? 5) At a particular Showcase Cinemas, it costs $4.00 more per movie ticket to see “Avatar” in 3-d than to see it in 2-d. The total price of ten “Avatar 3-d” tickets and six “Avatar 2-d” tickets is $216.00. Determine the price of a ticket to see “Avatar” in 3-d. 1...
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