Which of the following equations has a solution of −7

Question

?(1 point)
Responses

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

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

−x+3=−4
negative x plus 3 equals negative 4

4x−23=5

Answer 1

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

1. For \( 5x + 11 = -24 \): \[ 5(-7) + 11 = -35 + 11 = -24 \quad \text{(True)} \]

2. For \( -3x - 8 = -29 \): \[ -3(-7) - 8 = 21 - 8 = 13 \quad \text{(False)} \]

3. For \( -x + 3 = -4 \): \[ -(-7) + 3 = 7 + 3 = 10 \quad \text{(False)} \]

4. For \( 4x - 23 = 5 \): \[ 4(-7) - 23 = -28 - 23 = -51 \quad \text{(False)} \]

The only equation that has a solution of \( x = -7 \) is:

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