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tatiyna
3 years ago
11

Use elimination to find the solution to the system of equations. 9x + 2y = 59

Mathematics
2 answers:
disa [49]3 years ago
5 0

Answer:

????????????????????

-BARSIC- [3]3 years ago
4 0

Answer:

Step-by-step explanation:

9x + 2y = 59 -> 9x = 59 - 2y -> x = (59-2y)/9

2x + 5y = 4 -> 2(59-2y)/9 + 5y = 4 -> (118 - 4y)/9 +5y = 4

118 - 4y + 45y = 4*9 -> 41y = -82 -> y = -2, thus x = 7

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In a survey of employees at a fast food​ restaurant, it was determined that 15 cooked​ food, 12 washed​ dishes, 21 operated the
andre [41]

This question is incomplete

Complete Question

In a survey of employees at a fast food​ restaurant, it was determined that 15 cooked​ food, 12 washed​ dishes, 21 operated the cash​ register, 7 cooked food and washed​ dishes, 6 cooked food and operated the cash​ register, 6washed dishes and operated the cash​ register, 4 did all three​ jobs, and 7 did none of these jobs

(a) Only cooked food?

(b) Only operate the cash register?

Answer:

(a) Only cooked food?

6

(b) Only operate the cash register?

13

Step-by-step explanation:

From the above question, we have the following information:

15 cooked​ food

12 washed​ dishes

21 operated the cash​ register

7 cooked food and washed​ dishes

6 cooked food and operated the cash​ register

6washed dishes and operated the cash​ register

4 did all three​ jobs

7 did none of these jobs

(a) Only cooked food?

This would be calculated as

Number of people that cooked food + Number of people that did all three jobs - Number of people that cooked food and washed​ dishes - Number of people that cooked food and operated the cash​

= 15 + 4 - 7 - 6

= 19 - 13

= 6

Therefore ,only 6 people cooked food

(b) Only operate the cash register?

This would be calculated as

Number of people that operated cash register + Number of people that did all three jobs - Number of people that cooked food and operated the cash​ register - Number of people that washed dishes and operated the cash​ register

= 21 + 4 - 6 - 6

= 25 - 12

= 13

Therefore, only 13 people operated cash register.

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3 years ago
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