Algebra

posted by on .

I4x-4I=8x+16 (The 2 "I" are absolute signs)

• Algebra - ,

[4x - 4] = 8x + 16.
There are 2 possible solutions:
4x - 4 = +- (8x + 16),

First Eq:
4x - 4 = +(8x + 16),
4x - 8x = 16 + 4,
-4x = 20,
x = -5.

2nd Eq:
4x - 4 = -(8x + 16),
4x - 4 = -8x - 16,
4x + 8x = -16 + 4,
12x = -12,
x = -1.

Check 1st Eq:
[4*-5 -4] = 8*-5 + 16,
[-24] = -24.
The above statement is NOT true:
[-24] = +24.
Therefore, -5 is NOT a solution.

Check 2nd Eq:
[4*-1 - 4] = 8*-1 + 16,
[-8] = 8. TRUE.

Solution:x = -1.
The text passage contains a mathematical question involving an absolute value equation and provides a detailed solution with verification steps.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Algebra

posted by on .

I4x-4I=8x+16 (The 2 "I" are absolute signs)

• Algebra - ,

[4x - 4] = 8x + 16.
There are 2 possible solutions:
4x - 4 = +- (8x + 16),

First Eq:
4x - 4 = +(8x + 16),
4x - 8x = 16 + 4,
-4x = 20,
x = -5.

2nd Eq:
4x - 4 = -(8x + 16),
4x - 4 = -8x - 16,
4x + 8x = -16 + 4,
12x = -12,
x = -1.

Check 1st Eq:
[4*-5 -4] = 8*-5 + 16,
[-24] = -24.
The above statement is NOT true:
[-24] = +24.
Therefore, -5 is NOT a solution.

Check 2nd Eq:
[4*-1 - 4] = 8*-1 + 16,
[-8] = 8. TRUE.

Solution:x = -1.
user
The text passage contains a mathematical question involving an absolute value equation and provides a detailed solution with verification steps.

TYPE: SINGLE_QUESTION_WITH_ANSWER