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masha68 [24]
3 years ago
12

True or False. The expressions 3 + y and 1/3 (6 + y) are equivalent?

Mathematics
1 answer:
vazorg [7]3 years ago
7 0

Answer:

false

Step-by-step explanation:

consider y = 3

its 6 for one and 3 for the other

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Answer:

The system of equations is:

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Step-by-step explanation:

We know that the total number of cows (x) plus the total number of chickens (y) is 42, because Farmer Brown has 42 animals.

We also know that cows (x) have 4 legs and so 4 times the number of cows is the number of cow legs. And chickens (y) have 2 legs, so the number of chickens times two represents the total chicken legs. The sum of 4x + 2y is 120 because there are 120 legs in total.

To solve the system of equations, first solve each equation for y.

In the first equation:

x + y = 42

Subtract x from both sides to isolate y.

y = 42 - x

Second equation:

4x + 2y = 120

Subtract 4x from both sides

2y = 120 - 4x

Divide both sides by 2

y = 60 - 2x

Now that the y's are isolated in both equation, you can put them into 1 equation. Where y = y:

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y = 60 - 2x

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Add 2x to both sides

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Subtract 42 from both sides

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y = 42 - x

y = 42 - (18)

y = 24

The number of chickens is represented by y, so there are 24 chickens.

3 0
2 years ago
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