Which of the following equations has a solution of −7

Question

−
7
?(1 point)
Responses

−x+3=−4
−
𝑥
+
3
=
−
4

negative x plus 3 equals negative 4

5x+11=−24
5
𝑥
+
11
=
−
24

5 x plus 11 equals negative 24

−3x−8=−29
−
3
𝑥
−
8
=
−
29

negative 3 x minus 8 equals negative 29

4x−23=5...................

Answer 1

To determine which of the given equations has a solution of \( x = -7 \), we need to substitute \( -7 \) into each equation and check if it satisfies the equation. Let's go through each option:

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

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

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

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

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

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

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

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

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

\[ \boxed{5x + 11 = -24} \]