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

Question

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Answer 1

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 2

huh

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: \[ 5x + 11 = -24 \]

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