1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frez [133]
2 years ago
8

Solve the rational equation x+3/3x-2-x-3/3x+2=44/9x^2-4

Mathematics
1 answer:
Drupady [299]2 years ago
4 0

Answer:

x=2

Step-by-step explanation:

When given the following equation;

\frac{x+3}{3x-2}-\frac{x-3}{3x+2}=\frac{44}{9x^2-4}

One has to solve for the variable (x). Remember, when working with fractions, one must have a common denominator in order to perform operations. Since the denominators on the left side of the equation are unlike, one must change them so that they are like denominators. Multiply each fraction by the other fraction's denominator on the respective side. Remember to multiply both the numerator and denominator by the value to ensure that the equation remains true.

=\frac{x+3}{3x-2}*(\frac{3x+2}{3x+2})-\frac{x-3}{3x+2}*(\frac{3x-2}{3x-2})=\frac{44}{9x^2-4}

Simplify,

=\frac{(x+3)(3x+2)}{(3x-2)(3x+2)}-\frac{(x-3)(3x-2)}{(3x+2)(3x-2)}=\frac{44}{9x^2-4}\\\\=\frac{3x^2+11x+6}{9x^2-4}-\frac{3x^2-11x+6}{9x^2-4}=\frac{44}{9x^2-4}

Distribute the negative sign to simplify the left side of the equation;

=\frac{3x^2+11x+6}{9x^2-4}-\frac{3x^2-11x+6}{9x^2-4}=\frac{44}{9x^2-4}\\\\=\frac{3x^2+11x+6-(3x^2-11x+6)}{9x^2-4}=\frac{44}{9x^2-4}\\\\=\frac{3x^2+11x+6-3x^2+11x-6}{9x^2-4}=\frac{44}{9x^2-4}\\\\=\frac{22x}{9x^2-4}{=\frac{44}{9x^2-4}

Since the denominators on opposite sides of the equation are like, one can now ignore the denominators,

=22x=44

Inverse operations,

=22x=44

   ÷2       ÷2

     x=2

You might be interested in
Solve:<br> 2 3/4 −(−1 1/2 )+(− 5/6 )−(− 3/8)−(+4 2/3 )<br> PLS HELP!
neonofarm [45]

Answer: -7/8

Step-by-step explanation:

you need to find a common denominator for all of them

in this case it would be 24

2 18/24 -(- 1 12/24) + (-20/24) -(-9/24) - (+ 4 16/24)

2 18/24 + 1 12/24 - 20/24 + 9/24 - 4 16/24

4 6/24 - 20/24 + 9/24 - 4 16/24

3 10/24 + 9/24 - 4 16/24

3 19/24 - 4 16/24

- 21/24

-7/8

3 0
3 years ago
Read 2 more answers
When looking at probability, the___ is the whole of what we are talking about
nadezda [96]

Some options that can fill this empty space in order to make the phrase make sense is:

when looking at probability, the 100% is the whole of what we are talking about​.

when looking at probability, the universe set is the whole of what we are talking about​.

Since we don't have options to choose, I believe the answer "100%" is the best option.

4 0
9 months ago
There are 40 males and 50 females participating in a marathon.
Verizon [17]

Answer:

The answer is [   ]

Step-by-step explanation:

Since both 40 males and 50 females, we add them to get 90 ppl in all. 50 of those 90 are female. Find that ration, 50:90, as a percentage. That would be 55.5% (i think)

4 0
2 years ago
Read 2 more answers
Could someone help with the question in the picture, thanks
masya89 [10]

Answer:

Step-by-step explanation:

7 0
3 years ago
Which of the equations below could be the equation of this parabola?
ELEN [110]

Answer:

C. y=-4x^2

Step-by-step explanation:

To eliminate a and b the parabola is a negative and neither one of those are negative. When the parabola is facing down its a negative.

To eliminate D the parabola is going down on the y-axis so it cant be d.

Which leaves us with C.

So the answer is indeed C.

3 0
2 years ago
Other questions:
  • Find (fof)(3)<br> f(x) = x^2 - x<br><br> A. 30<br> B. 6<br> C. 33<br> D. -6
    15·2 answers
  • Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
    6·1 answer
  • I not sure how to do B of this question
    6·1 answer
  • He climbed 16 yards in 32 minutes. What is the change in elevation each minutes?
    12·1 answer
  • Look at this prism and its net what is the surface area of this rectangular prism?
    5·2 answers
  • What is the greatest common factor of y^2 and y^3?
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B4%7D%20%20%5Ctimes%20%20%7B3%7D%5E%7B5%20%7D%20%20%2B2%285%20-%202%20%5Ctimes%
    12·1 answer
  • ben had twice as many nickels as dimes altogether ben had $4.20 write a system of equations that would determine the number of n
    7·2 answers
  • Help Pls! It's for my Math 4! Scalar Multiplication!
    9·2 answers
  • 2. Choose the correct measurement of the paper clip to the nearest 1/8 inch.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!