Question

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

A. −3x − 8 = −29

B. 4x −23 = 5

C. -x + 3 = −4

D. 5x + 11 = −24

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.

**Option A: \(-3x - 8 = -29\)**
Substituting \(x = -7\):
\[
-3(-7) - 8 = -29 \\
21 - 8 = -29 \\
13 \neq -29 \quad \text{(not true)}
\]

**Option B: \(4x - 23 = 5\)**
Substituting \(x = -7\):
\[
4(-7) - 23 = 5 \\
-28 - 23 = 5 \\
-51 \neq 5 \quad \text{(not true)}
\]

**Option C: \(-x + 3 = -4\)**
Substituting \(x = -7\):
\[
-(-7) + 3 = -4 \\
7 + 3 = -4 \\
10 \neq -4 \quad \text{(not true)}
\]

**Option D: \(5x + 11 = -24\)**
Substituting \(x = -7\):
\[
5(-7) + 11 = -24 \\
-35 + 11 = -24 \\
-24 = -24 \quad \text{(true)}
\]

The correct answer is **D. \(5x + 11 = -24\)**.