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3 years ago

Solve for x " 1/6x+2/3x+4=x+2

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

Solve for x:

(5 x)/6 + 4 = x + 2

Put each term in (5 x)/6 + 4 over the common denominator 6: (5 x)/6 + 4 = (5 x)/6 + 24/6:

(5 x)/6 + 24/6 = x + 2

(5 x)/6 + 24/6 = (5 x + 24)/6:

(5 x + 24)/6 = x + 2

Multiply both sides by 6:

(6 (5 x + 24))/6 = 6 (x + 2)

(6 (5 x + 24))/6 = 6/6×(5 x + 24) = 5 x + 24:

5 x + 24 = 6 (x + 2)

Expand out terms of the right hand side:

5 x + 24 = 6 x + 12

Subtract 6 x from both sides:

(5 x - 6 x) + 24 = (6 x - 6 x) + 12

5 x - 6 x = -x:

-x + 24 = (6 x - 6 x) + 12

6 x - 6 x = 0:

24 - x = 12

Subtract 24 from both sides:

(24 - 24) - x = 12 - 24

24 - 24 = 0:

-x = 12 - 24

12 - 24 = -12:

-x = -12

Multiply both sides of -x = -12 by -1:

(-x)/(-1) = 12

(-1)/(-1) = 1:

Answer: x = 12

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3 years ago

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3 years ago

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3 years ago

The question is listed in the image below.

LenaWriter [7]

Answer:

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Step-by-step explanation:

The similarity statement $ABCD \sim WXYZ$ tells you which vertex from the first polygon corresponds to which vertex from the second polygon.

A is paired with W, B is paired with X, C is paired with Y, D is paired with Z.

The expression <em>y</em> + 2 is placed along side WZ which corresponds to side AD in the first polygon.

Now locate two sides, one from each polygon, that are labeled with just <u>numbers</u>. That way, you'll be able to tell what the proportion is between the two shapes.

AB and WX correspond and are labeled 5 and 3, respectively.

Now you can write a proportion:

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3 years ago