Which of the following equations has a solution of −7 ?(1 point)

Question

Responses

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

4x−23=5
4 x minus 23 equals 5

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

5x+11=−24

Answer 1

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

1. For the equation \( -x + 3 = -4 \): \[ -(-7) + 3 = -4 \ 7 + 3 = -4 \ 10 \neq -4 \quad \text{(not a solution)} \]

2. For the equation \( 4x - 23 = 5 \): \[ 4(-7) - 23 = 5 \ -28 - 23 = 5 \ -51 \neq 5 \quad \text{(not a solution)} \]

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

4. For the equation \( 5x + 11 = -24 \): \[ 5(-7) + 11 = -24 \ -35 + 11 = -24 \ -24 = -24 \quad \text{(is a solution)} \]

The equation that has a solution of -7 is \( 5x + 11 = -24 \).