Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

|2x+3|+9=20. please help. add explanation

Sagot :

Answer:

  • The solution of this equation is 'x = 4'.

Step-by-step explanation:

  • |2x + 3| + 9 = 20
  • => 2x + 3 + 9 = 20
  • => 2x + 12 = 20
  • => 2x = 20 - 12
  • => 2x = 8
  • => x = 4

Hence, the solution of this equation is 'x = 4'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

x = -7, x = 4

Step-by-step explanation:

Absolute value is the distance from 0. The distance can be negative or positive

Deciding Cases:

If an absolute value equation is equal to a negative number, it is automatically no solutions.

To verify that the absolute value eq. is true, you first want just the absolute value equation alone.

|2x + 3| + 9 = 20

Isolate the absolute value equaion by subtracting 9 from both sides:

|2x + 3| = 20 - 9

|2x + 3| = 11

This is where you decide if it is true or not.

Since the outcome is positive, it is a correct equation.

If the outcome is 0, it has one solution. If it is a positive number it has two solutions. (Case 1, Case 2)

Case 1, Case 2 - Solving the equation

Case 1, when 11 is negative:

Remove absolute value brackets:

2x + 3 = -11

2x = -14

x = -7

Case 2, when 11 is positive:

Remove absolute value brackets:

2x + 3 = 11

2x = 8

x = 4

-Chetan K