Question

Which of the following equations has a solution of −7
−
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:

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