Which of the following equations has a solution of −7 ?(1 point) Responses 4x−23=5 4 x minus 23 equals 5 5x+11=−24 5 x plus 11 equals negative 24 −x+3=−4 negative x plus 3 equals negative 4 −3x−8=−29

Answer 1

To determine which of the given equations has a solution of \( -7 \), we can substitute \( x = -7 \) into each equation and check if the left side equals the right side.

1. Equation: \( 4x - 23 = 5 \)
   Substitute \( x = -7 \):
   \[ 4(-7) - 23 = -28 - 23 = -51 \quad \text{(not equal to 5)} \]

2. Equation: \( 5x + 11 = -24 \)
   Substitute \( x = -7 \):
   \[ 5(-7) + 11 = -35 + 11 = -24 \quad \text{(equal to -24)} \]

3. Equation: \( -x + 3 = -4 \)
   Substitute \( x = -7 \):
   \[ -(-7) + 3 = 7 + 3 = 10 \quad \text{(not equal to -4)} \]

4. Equation: \( -3x - 8 = -29 \)
   Substitute \( x = -7 \):
   \[ -3(-7) - 8 = 21 - 8 = 13 \quad \text{(not equal to -29)} \]

The only equation that is satisfied by \( x = -7 \) is:

Response: \( 5x + 11 = -24 \)