Question

Which of the following equations has the solution set {−3}?(1 point)Responses4x−8=44 x minus 8 equals 44x+8=−44 x plus 8 equals negative 44x+8=44 x plus 8 equals 44x−8=−4

Answer 1

To determine which of the given equations has the solution set {−3}, we need to solve each equation and check if it yields \( x = -3 \).

1. **Equation: \( 4x - 8 = 44 \)**
\[
4x = 44 + 8 \\
4x = 52 \\
x = \frac{52}{4} = 13
\]
Solution is \( x = 13 \).

2. **Equation: \( 4x - 8 = -44 \)**
\[
4x = -44 + 8 \\
4x = -36 \\
x = \frac{-36}{4} = -9
\]
Solution is \( x = -9 \).

3. **Equation: \( 4x + 8 = -44 \)**
\[
4x = -44 - 8 \\
4x = -52 \\
x = \frac{-52}{4} = -13
\]
Solution is \( x = -13 \).

4. **Equation: \( 4x + 8 = 44 \)**
\[
4x = 44 - 8 \\
4x = 36 \\
x = \frac{36}{4} = 9
\]
Solution is \( x = 9 \).

5. **Equation: \( 4x - 8 = -4 \)**
\[
4x = -4 + 8 \\
4x = 4 \\
x = \frac{4}{4} = 1
\]
Solution is \( x = 1 \).

None of these equations yielded \( x = -3 \). I'll check the operations one more time. Please provide the list again if needed, as it may contain a typo or missing equation that would provide the right solution.