32.4k views
0 votes
What is the solution of |3x+4|=14

User Chrset
by
8.3k points

2 Answers

2 votes

Answer:

Two solutions were found :

x=10/3

x=-6

Explanation:

|3x+4|=14

Two solutions were found :

x=10/3

x=-6

Absolute Value Equation entered :

|3x+4|=14

Step by step solution :

Step 1 :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

|3x+4| = 14

Step 2 :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x+4|

For the Negative case we'll use -(3x+4)

For the Positive case we'll use (3x+4)

Step 3 :

Solve the Negative Case

-(3x+4) = 14

Multiply

-3x-4 = 14

Rearrange and Add up

-3x = 18

Divide both sides by 3

-x = 6

Multiply both sides by (-1)

x = -6

Which is the solution for the Negative Case

Step 4 :

Solve the Positive Case

(3x+4) = 14

Rearrange and Add up

3x = 10

Divide both sides by 3

x = (10/3)

Which is the solution for the Positive Case

Step 5 :

Wrap up the solution

x=-6

x=10/3

Solutions on the Number Line

Two solutions were found :

x=10/3

x=-6

2 votes

Answer:

3x + 4 = 14

3x = 10

x = 10/3

- 3x - 4 = 14

- 3x = 18

x = -6

x = 10/3; x = -6

User Nickolay Merkin
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories