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Katena32 [7]
3 years ago
10

What are the solutions to the equation |x – 10| – 4 = 2x?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

|x – 10| – 4 = 2x

x - 10 - 4 = 2x

x - 14 = 2x

x - 2x = 14

-x = 14

x = -14

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A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack
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The number of small packs is 2 and the number of large packs is 7

Step-by-step explanation:

A school is organizing a cookout where hot dogs will be served. The hot dogs come in small packs and large packs

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  • Each large pack has 18 hot dogs
  • The school bought 5 more large packs than small packs, which altogether had 142 hot dogs

We need to find the number of small packs purchased and the number of large packs purchased

Assume that the number of the small packs is x and the number of the large pack is y

∵ There are x small packs

∵ Each small pack has 8 hot dogs

∵ There are y large packs

∵ Each large pack has 18 hot dogs

∴ The total number of hot dogs in all packs = 8x + 18y

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- Equate the total number of hot doges by 142

∴ 8x + 18y = 142 ⇒ (1)

∵ The school bought 5 more large packs than small packs

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Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

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- Simplify the left hand side

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- Add like terms in the left hand side

∴ 26x + 90 = 142

- Subtract 90 from both sides

∴ 26x = 52

- Divide both sides by 26

∴ x = 2

- Substitute the value of x in equation (2) to find y

∵ y = 2 + 5

∴ y = 7

The number of small packs is 2 and the number of large packs is 7

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

LearnwithBrainly

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1 Box Weighed 180 Pounds, Because 2160 Divided By 12 Is 180. Hope That Helps
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