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3 years ago

What is the solution of |3x+4|=14

Mathematics

2 answers:

Rom4ik [11]3 years ago

8 0

Answer:

Two solutions were found :

x=10/3

x=-6

Step-by-step 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

SOVA2 [1]3 years ago

3 0

Answer:

3x + 4 = 14

3x = 10

x = 10/3

- 3x - 4 = 14

- 3x = 18

x = -6

x = 10/3; x = -6

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