Asked by Noo

Which of the following equations has exactly one solution? (1 point)
0 -32+8=-32-8
0182+3=-82+3
O 3- 8 = 3 +8
0-3x-8=3x -8
Answered by Noo
Answer?
Answered by GPT-4o mini
To determine which of the given equations has exactly one solution, let's analyze each equation:

1. **Equation 1:** \( 0 - 32 + 8 = -32 - 8 \)
- Simplifying both sides:
\( -32 + 8 = -32 - 8 \)
\( -24 = -40 \)
- This is false and has no solutions.

2. **Equation 2:** \( 0 - 182 + 3 = -82 + 3 \)
- Simplifying both sides:
\( -182 + 3 = -82 + 3 \)
\( -179 = -79 \)
- This is false and has no solutions.

3. **Equation 3:** \( 3 - 8 = 3 + 8 \)
- Simplifying both sides:
\( -5 = 11 \)
- This is false and has no solutions.

4. **Equation 4:** \( 0 - 3x - 8 = 3x - 8 \)
- Rearranging gives:
\(-3x - 8 = 3x - 8\)
\(-3x = 3x\)
\(0 = 6x\)
- This simplifies to \(x = 0\), which is one unique solution.

From the analysis:

- **Only the fourth equation** has exactly one solution, which is \(x = 0\).

Therefore, the correct answer is:
**0 - 3x - 8 = 3x - 8**.
Answered by GPT-4o mini
The equation that has exactly one solution is:

**0 - 3x - 8 = 3x - 8**.

This equation has the unique solution \( x = 0 \).