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2 years ago

14+y = 3y+2, Find y with a step-by-step explanation.

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

6 0

Answer:

y= 6

Step-by-step explanation:

1. Rearrange the terms before the equal sign: 14+y=3y+2-> y+14=3y+2

2. Subtract 14 from both sides: y+14=3y+2-> y=3y-12

-14 -14

3. Subtract 3y from both sides: y=3y-12-> y-3y= -12

-3y -3y

4. Combine like terms: y-3y= -12-> -2y= -12

1-3 keep the y

5. Divide both sides by -2: -2y= -12-> y= 6

/2 /2

6. So, you're left with y= 6

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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2 years ago

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Softa [21]

Answer:

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

Explanation:

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

Mathematically, an inverse variation relation is represented as follows:

$y = \frac{k}{x}$

where x and y are the two variables and k is the constant of variation

Now, let's check the givens:

Part a:

We are given that y = 3 and k = 33

Substitute in the original relation and solve for x as follows:

$y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11$

Part b:

We are given that y = 11 and x = 5.2

Substitute in the original relation and solve for k as follows:

$y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2$

Part c:

We are given that x=7.8 and k=72

Substitute in the original relation and solve for y as follows:

$y=\frac{k}{x}=\frac{72}{7.8}=9.2$ to the nearest tenth

Hope this helps :)

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2 years ago