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
Marta_Voda [28]
3 years ago
9

|9x-7|=|6x+3| Solve the inequality

Mathematics
1 answer:
dexar [7]3 years ago
8 0

Answer:

x = 4/15 and x= 10/3

Step-by-step explanation:

|9x-7|=|6x+3|

There are two solutions, one positive and one negative.

(9x-7)=6x+3                   - (9x-7)=6x+3

We will take the positive one first

(9x-7)=6x+3

Subtract 6x from each side

(9x-6x-7)=6x-6x+3

3x -7=3

Add 7 to each side

3x-7+7 = 3+7

3x = 10

Divide by 3x/3 = 10/3

x = 10/3


Now we will take the negative solution

- (9x-7)=6x+3

Distribute the negative sign

-9x+7 = 6x+3

Add 9x to each side

-9x+9x+7 = 6x+9x+3

7 = 15x+3

Subtract 3 from each side

7-3 = 15x +3-3

4 = 15x

Divide by 15 on each side

4/15 =15x/15

4/15 =x

You might be interested in
Expand each expression and collect like terms -3(2p-3q)
sertanlavr [38]

Answer

(-3 * 2p) - (-3 * 3q)

Step-by-step explanation:

I dunno how to explain it but that's it

7 0
2 years ago
The triangles shown below must be congruent. right awnsers only please.
tankabanditka [31]
It is true. The triangles are congruent.
8 0
3 years ago
Read 2 more answers
What is StartAbsoluteValue 8 EndAbsoluteValue? –16 –8 8 16 help plz
gayaneshka [121]

Answer:

8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to 12(2+3x−6) ?
matrenka [14]
Simplify: 12(2 + 3x - 6)
= (12)(2 + 3x + - 6) = (12)(2) + (12)(3x) + (12)( - 6)
= 24 + 36x - 72
Answer = 36x - 48



2: Factor: 

36x - 48 
= 12(3x -4)

Answer 
= 12(3x -4)



3: <span>12(2+3x−6)

= 12(3x + 2 - 6)

= 12(3x - 4)


Your Answer  would be (A).

3x - 4</span>
7 0
3 years ago
Read 2 more answers
Solve 4/x + 8/x+2 = 4
Trava [24]

Answer:

x = 0 and x = 3

Step-by-step explanation:

I will assume that you mean:

4         8

---- + --------- = 4

 x      x + 2

Here the LCD is x(x + 2).

Multiplying all 3 terms by x(x + 2), we get:

4(x + 2) + 8x = 4(x)(x + 2), or

4x + 8 + 8x = 4x^2 + 8x

Cancelling the 8x terms, we have:

12x = 4x^2, or 3x = x^2, or x^2 - 3x = 0.

Factoring, we get x(x - 3) = 0, which results in x = 0 and x = 3.

7 0
3 years ago
Other questions:
  • Branliest and 30 points
    13·2 answers
  • Multiply untegers and divide integers
    9·2 answers
  • What is the solution to the system of equations represented by the two equations?
    8·2 answers
  • At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?
    15·1 answer
  • Put the fraction in order from least to greatest 1/2 1/4 1/3 3/4
    7·2 answers
  • How to estimate and find the product of 1374 x 6
    14·1 answer
  • a 42 inch diameter tablecloth that hangs off the edge 8 inches. what is the area of the tablecloth use 3.14 for pi​
    15·1 answer
  • A company makes fifty-six million, nine hundred two thousand, one hundred twenty six widgets each year. what is this number in s
    10·1 answer
  • Camila Cabello wants to order cheesecakes over the internet. Each cheesecake costs $15.99 and shipping for the entire order is
    7·1 answer
  • Find the area of the triangle, please hurry and show your work
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!