Which of the following equations has a solution of −7

Question

?(1 point)
Responses

4x−23=5
4 x minus 23 equals 5

−3x−8=−29
negative 3 x minus 8 equals negative 29

5x+11=−24
5 x plus 11 equals negative 24

−x+3=−4

Answer 1

To determine which equation has a solution of \( x = -7 \), we can substitute \(-7\) into each equation and see if the equation holds true.

1. Equation: \( 4x - 23 = 5 \)

   Substitute \( x = -7 \): \[ 4(-7) - 23 = 5 \ -28 - 23 = 5 \ -51 \neq 5 \quad (\text{not a solution}) \]

2. Equation: \( -3x - 8 = -29 \)

   Substitute \( x = -7 \): \[ -3(-7) - 8 = -29 \ 21 - 8 = -29 \ 13 \neq -29 \quad (\text{not a solution}) \]

3. Equation: \( 5x + 11 = -24 \)

   Substitute \( x = -7 \): \[ 5(-7) + 11 = -24 \ -35 + 11 = -24 \ -24 = -24 \quad (\text{this is a solution}) \]

4. Equation: \( -x + 3 = -4 \)

   Substitute \( x = -7 \): \[ -(-7) + 3 = -4 \ 7 + 3 = -4 \ 10 \neq -4 \quad (\text{not a solution}) \]

Based on the calculations, the equation that has a solution of \( x = -7 \) is:

\( 5x + 11 = -24 \).