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Juli2301 [7.4K]
3 years ago
10

Is the point (8, -3) a solution to the linear equation 2x + 3y = 12

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

No, (8, -3) is not a solution.

Step-by-step explanation:

2x + 3y = 12

(substitute the variables for the point; x = 8 & y = -3)

2(8) + 3(-3) = 12

16 - 9 = 12

7 ≠ 12

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The correct answer is option b)

50a+10b<1000; 200a+360b < 7200; a> 0; b>0

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We are given that Two kind of crated cargo namely A and B to be shipped by truck.

<u>Cargo A:</u>

Volume of each crate of cargo A = 50 cubic ft

Weight of each crate of cargo A = 200 pounds

Let number of crates of cargo A to be shipped = a

Total volume of 'a' crates of cargo A = 50a cubic ft

Total weight of 'a' crates of cargo A = 200a pounds

<u>Cargo B:</u>

Volume of each crate of cargo B = 10 cubic ft

Weight of each crate of cargo B = 360 pounds

Let number of crates of cargo B to be shipped = b

Total volume of 'b' crates of cargo B = 10b cubic ft

Total weight of 'b' crates of cargo B = 360b

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Total volume of 'a' crates of Cargo A and Total volume of 'b' crates of Cargo B = 50a+10b cubic ft (This sum should be less than volume of truck so that it can fit in the truck)

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50a+10b ....... (1)

Total weight allowed (load limit) in the truck is 7200 pounds

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200a+360b ....... (1)

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