Question

solve the proportion for x. 2/9=3/(x+2)

Answer 1

Answer:

x as a fraction: 11$\frac{1}{2}$

Step-by-step explanation:

Variable x cannot be equal to −2 since division by zero is not defined. Multiply both sides of the equation by 9(x+2), the least common multiple of 9,x+2.

2 ( x+ 2) = 9 x 3

Use the distributive property to multiply 2 by x + 2.

2x + 4 = 9 x 3

Multiply 9 and 3 to get 27.

2x + 4 = 27

Subtract 4 from both sides.

2x = 27 - 4

Subtract 4 from 27 to get 23.

2x = 23

Divide both sides by 2.

x = $\frac{23}{2}$

Simplify

11$\frac{1}{2}$

Hope it helps and have a great day! =D

~sunshine~

Answer 2

Answer:

$x=\frac{23}{2}$

Step-by-step explanation:

Hi there!
We are given the following proportion:

$\frac{2}{9} =\frac{3}{x+2}$, and we want to solve it for x

To solve proportions, we can cross-multiply; in other words, we can multiply the terms in the numerator of one proportion with the terms in the denominator of the second proportion.

This is a property that where if you have the proportion $\frac{a}{b} =\frac{c}{d}$, it can also be represented as ad=bc
So let's cross multiply; multiply 2 by x+2, and multiply 9 by 3. Then, set them equal to each other.

2(x+2)=9*3

Multiply

2x+4=27
Subtract 4 from both sides

2x=23

Divide both sides by 2

x=$\frac{23}{2}$
The answer can be left as that.
Hope this helps!

If you wish to solve a similar problem for practice, take a look here: https://brainly.com/question/24355081