Question

Which of the following equations has a solution of −7 ?(1 point) Responses 4x−23=5 4 x minus 23 equals 5 5x+11=−24 5 x plus 11 equals negative 24 −3x−8=−29 negative 3 x minus 8 equals negative 29 −x+3=−4 negative x plus 3 equals negative 4

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Answer 1

huh

Answer 2

To find out which equation has a solution of \( -7 \), we can substitute \( x = -7 \) into each equation and see which one holds true.

1. **Equation: \( 4x - 23 = 5 \)**
\[
4(-7) - 23 = -28 - 23 = -51 \quad \text{(not equal to 5)}
\]

2. **Equation: \( 5x + 11 = -24 \)**
\[
5(-7) + 11 = -35 + 11 = -24 \quad \text{(true)}
\]

3. **Equation: \( -3x - 8 = -29 \)**
\[
-3(-7) - 8 = 21 - 8 = 13 \quad \text{(not equal to -29)}
\]

4. **Equation: \( -x + 3 = -4 \)**
\[
-(-7) + 3 = 7 + 3 = 10 \quad \text{(not equal to -4)}
\]

Out of all the equations evaluated, the one that has a solution of \( -7 \) is:
\[
\boxed{5x + 11 = -24}
\]

Answer 3

Let me clarify the approach I took to determine which equation has a solution of \( -7 \). I checked each equation by substituting \( x = -7 \) into them. Here's a breakdown:

1. **For \( 4x - 23 = 5 \)**:
- Substitute \( x = -7 \):
\[
4(-7) - 23 = -28 - 23 = -51 \quad \text{(not equal to 5)}
\]

2. **For \( 5x + 11 = -24 \)**:
- Substitute \( x = -7 \):
\[
5(-7) + 11 = -35 + 11 = -24 \quad \text{(this is true)}
\]

3. **For \( -3x - 8 = -29 \)**:
- Substitute \( x = -7 \):
\[
-3(-7) - 8 = 21 - 8 = 13 \quad \text{(not equal to -29)}
\]

4. **For \( -x + 3 = -4 \)**:
- Substitute \( x = -7 \):
\[
-(-7) + 3 = 7 + 3 = 10 \quad \text{(not equal to -4)}
\]

The only equation that was satisfied when substituting \( -7 \) was:
\[
5x + 11 = -24
\]

If you have any further questions or if something was unclear, feel free to ask!