Question

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

Answer 1

why wouldn't it be -16? explain

Answer 2

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 **\( x + 19 = -5 \)**.

Answer 3

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!