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Which of the following four equations has the solution of the lowest value?(1 point)

Responses

x − 7 = 28

x + 25 = 2

x − 6 = −16

x + 19 = −5

3 answers

Let's solve each of the equations to find the value of \( x \):

  1. Equation 1: \( x - 7 = 28 \)
    Adding 7 to both sides:
    \( x = 28 + 7 \)
    \( x = 35 \)

  2. Equation 2: \( x + 25 = 2 \)
    Subtracting 25 from both sides:
    \( x = 2 - 25 \)
    \( x = -23 \)

  3. Equation 3: \( x - 6 = -16 \)
    Adding 6 to both sides:
    \( x = -16 + 6 \)
    \( x = -10 \)

  4. Equation 4: \( x + 19 = -5 \)
    Subtracting 19 from both sides:
    \( x = -5 - 19 \)
    \( x = -24 \)

Now, comparing the solutions:

  • From Equation 1: \( x = 35 \)
  • From Equation 2: \( x = -23 \)
  • From Equation 3: \( x = -10 \)
  • From Equation 4: \( x = -24 \)

The lowest value is \( -24 \) from Equation 4.

Thus, the equation with the solution of the lowest value is \( x + 19 = -5 \).

why wouldn't it be -16? explain

Let's clarify why the solution of -16 is not the lowest value among the solutions provided from the equations.

It seems there might be some confusion here regarding the different equations and their respective solutions. Here's a quick review:

  1. Equation 1: \( x - 7 = 28 \)

    • Solution: \( x = 35 \)

  2. Equation 2: \( x + 25 = 2 \)

    • Solution: \( x = -23 \)

  3. Equation 3: \( x - 6 = -16 \)

    • Solution: \( x - 6 = -16 \) leads to \( x = -16 + 6 \)
    • Therefore, \( x = -10 \)

  4. Equation 4: \( x + 19 = -5 \)

    • Solution: \( x = -5 - 19 \) leads to \( x = -24 \)

So when we analyze the solutions:

  • The solutions from the equations are:
    • Equation 1: \( 35 \)
    • Equation 2: \( -23 \)
    • Equation 3: \( -10 \)
    • Equation 4: \( -24 \)

Among these values, -24 is indeed the lowest value.

To directly answer your point about -16: the solution \( x - 6 = -16 \) simplifies to \( x = -10 \), not -16. The -16 is just a constant in that equation but not the solution for \( x \).

Hence, the correct conclusion is that the equation \( x + 19 = -5 \) produces the lowest solution of -24. If there is any other context or question you have in mind regarding the number -16, please let me know!