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Mnenie [13.5K]
3 years ago
5

What does y equal y-16-3y=0

Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0

Answer:

y = - 8

Step-by-step explanation:

y - 16 - 3y = 0

Group like terms

y - 3y - 16 = 0

Add similar elements: y - 3y = - 2y

- 2y - 16 = 0

Add 16 to both sides

- 2y - 16 + 16 = 0 + 16

Simplify

- 2y = 16

Divide both sides by - 2

\frac{-2y}{-2} = \frac{16}{-2}

Simplify \frac{-2y}{-2}: y

\frac{-2y}{-2}

Apply the fraction rule: \frac{-a}{-b}  = \frac{a}{b}

= \frac{2y}{2}

Divide the numbers: \frac{2}{2}  = 1

= y

Simplify \frac{16}{-2}: - 8

\frac{16}{-2}

Apply the fraction rule: \frac{-a}{-b}  = \frac{a}{b}

-\frac{16}{2}

Divide the numbers: \frac{16}{2} = 8

= - 8

y = - 8

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Answer:

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Step-by-step explanation:

Linear function means that same increments in x yield uniform increments in y.

First 2 lines: x grows from -5 to 0, so increment in x is 5. For said interval, y grows from 3 to 7, so increment in y is 4.

Then, x grows from 0 to 5, so increment in x is again 5. Now, for the same increase of x, y grows from 7 to 10, so increment now in y is 3.

In the first "5" interval of x, y grew 4, and in the second "5" interval of x y grew 3 ⇒ it is not linear.

The function would have been linear, if last y value had been 11.

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Step-by-step explanation:

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3 years ago
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Kelsey solved the following equation:
Tems11 [23]

9514 1404 393

Answer:

  (a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:

Replacement of -1/2(8x +2) by -4x -1 is use of the <em>distributive property</em>, eliminating choices B and D.

In step 3, addition of 1 to both sides of the equation is use of the <em>addition property of equality</em>, eliminating choice C. This leaves only choice A.

_____

<em>Additional comment</em>

This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.

In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.

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