Answer:
x as a fraction: 11[tex]\frac{1}{2}[/tex]
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 = [tex]\frac{23}{2}[/tex]
Simplify
11[tex]\frac{1}{2}[/tex]
Hope it helps and have a great day! =D
~sunshine~
Answer:
[tex]x=\frac{23}{2}[/tex]
Step-by-step explanation:
Hi there!
We are given the following proportion:
[tex]\frac{2}{9} =\frac{3}{x+2}[/tex], 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 [tex]\frac{a}{b} =\frac{c}{d}[/tex], 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=[tex]\frac{23}{2}[/tex]
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
