Question

Which of the following equations has the solution set {-3}?(1 point)
Responses

4x + 8 = 4
4x + 8 = 4

4x - 8 = -4
4x - 8 = -4

4x + 8 = -4

Answer 1

To determine which of the given equations has the solution set \(\{-3\}\), we can solve each equation and see which one results in \(x = -3\).

1. **For the equation** \(4x + 8 = 4\):
\[
4x + 8 = 4
\]
\[
4x = 4 - 8
\]
\[
4x = -4
\]
\[
x = -1
\]

2. **For the equation** \(4x - 8 = -4\):
\[
4x - 8 = -4
\]
\[
4x = -4 + 8
\]
\[
4x = 4
\]
\[
x = 1
\]

3. **For the equation** \(4x + 8 = -4\):
\[
4x + 8 = -4
\]
\[
4x = -4 - 8
\]
\[
4x = -12
\]
\[
x = -3
\]

The equation that has the solution set \(\{-3\}\) is the third one: \(4x + 8 = -4\).