Which of the following equations has the solution set {−3} ?(1 point) Responses 4x+8=−4 4 x plus 8 equals negative 4 4x+8=4 4 x plus 8 equals 4 4x−8=4 4 x minus 8 equals 4 4x−8=−4

Answer 1

To determine which equation has the solution set \({-3}\), we need to solve each equation for \(x\) and see which one yields \(-3\).

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

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

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

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

From the calculations, the only equation that results in the solution \(-3\) is \(4x + 8 = -4\).

Thus, the equation that has the solution set \({-3}\) is:

4x + 8 = -4.