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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

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: \(4x + 8 = -4\).