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

Responses

4x−8=−4
4 x minus 8 equals negative 4

4x+8=4
4 x plus 8 equals 4

4x+8=−4
4 x plus 8 equals negative 4

4x−8=4

1 answer

To determine which equation has the solution set {−3}, we can substitute \( x = -3 \) into each equation and see which one is satisfied.

  1. For the equation \( 4x - 8 = -4 \): \[ 4(-3) - 8 = -12 - 8 = -20 \quad (\text{not true}) \]

  2. For the equation \( 4x + 8 = 4 \): \[ 4(-3) + 8 = -12 + 8 = -4 \quad (\text{not true}) \]

  3. For the equation \( 4x + 8 = -4 \): \[ 4(-3) + 8 = -12 + 8 = -4 \quad (\text{true}) \]

  4. For the equation \( 4x - 8 = 4 \): \[ 4(-3) - 8 = -12 - 8 = -20 \quad (\text{not true}) \]

The equation that has the solution set {−3} is:

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