Question

If x/−5=2 , then what is the value of x ?

Answer 1

Which of the following pairs of equations has exactly the same solution?(1 point)
Responses

3/8x=1 and 1/3x=1/8
Start Fraction 3 over 8 End Fraction x equals 1 and  Start Fraction 1 over 3 End Fraction x equals Start Fraction 1 over 8 End Fraction

−3/4x=5/2 and 5/2x=−3/4
negative Start Fraction 3 over 4 End Fraction x equals Start Fraction 5 over 2 End Fraction and  Start Fraction 5 over 2 End Fraction x equals negative Start Fraction 3 over 4 End Fraction

x/3.2=1.8 and 1.8x=3.2
Start Fraction x over 3.2 End Fraction equals 1.8 and  1.8x equals 3.2

−3.2x=0.64 and x4=−0.05

Answer 2

You have to find out which equations have the same answer. Like does 3/8x =1 and 1/3x = 1/8 have the same answer

Answer 3

Well you have to pick an answer

Answer 4

How about pair 4. -3.2x = 0.64 and x/4= -0.05

Answer 5

To solve for \( x \) in the equation

\[
\frac{x}{-5} = 2,
\]

you can start by multiplying both sides of the equation by \(-5\) to isolate \( x \):

\[
x = 2 \cdot (-5).
\]

Calculating the right side gives:

\[
x = -10.
\]

Therefore, the value of \( x \) is

\[
\boxed{-10}.
\]

Answer 6

To determine which pairs of equations have the same solution, we will solve each pair.

1. **Pair 1:**
\[
\frac{3}{8}x = 1
\]
To solve for \( x \):
\[
x = \frac{1}{\frac{3}{8}} = 1 \cdot \frac{8}{3} = \frac{8}{3}
\]

\[
\frac{1}{3}x = \frac{1}{8}
\]
To solve for \( x \):
\[
x = \frac{1}{\frac{1}{3}} \cdot \frac{1}{8} = 3 \cdot \frac{1}{8} = \frac{3}{8}
\]

**These equations do not have the same solution.**

2. **Pair 2:**
\[
-\frac{3}{4}x = \frac{5}{2}
\]
To solve for \( x \):
\[
x = \frac{\frac{5}{2}}{-\frac{3}{4}} = \frac{5}{2} \cdot \frac{-4}{3} = -\frac{10}{3}
\]

\[
\frac{5}{2}x = -\frac{3}{4}
\]
To solve for \( x \):
\[
x = \frac{-\frac{3}{4}}{\frac{5}{2}} = -\frac{3}{4} \cdot \frac{2}{5} = -\frac{3}{10}
\]

**These equations do not have the same solution.**

3. **Pair 3:**
\[
\frac{x}{3.2} = 1.8
\]
To solve for \( x \):
\[
x = 1.8 \cdot 3.2 = 5.76
\]

\[
1.8x = 3.2
\]
To solve for \( x \):
\[
x = \frac{3.2}{1.8} = \frac{32}{18} = \frac{16}{9} \approx 1.78
\]

**These equations do not have the same solution.**

4. **Pair 4:**
\[
-3.2x = 0.64
\]
To solve for \( x \):
\[
x = \frac{0.64}{-3.2} = -0.2
\]

\[
x \cdot 4 = -0.05
\]
To solve for \( x \):
\[
x = \frac{-0.05}{4} = -0.0125
\]

**These equations do not have the same solution.**

After checking all pairs, it appears that none of the pairs provided have exactly the same solution.

If I can provide any further help or clarifications, please let me know!

Answer 7

Let's analyze the pairs of equations again to check which pairs have exactly the same solutions.

### Pair 1:
1. \(\frac{3}{8}x = 1\)

Solving for \(x\):
\[
x = \frac{1}{\frac{3}{8}} = 1 \cdot \frac{8}{3} = \frac{8}{3}
\]

2. \(\frac{1}{3}x = \frac{1}{8}\)

Solving for \(x\):
\[
x = \frac{1}{\frac{1}{3}} \cdot \frac{1}{8} = 3 \cdot \frac{1}{8} = \frac{3}{8}
\]

**Conclusion:** These equations do not have the same solution.

---

### Pair 2:
1. \(-\frac{3}{4}x = \frac{5}{2}\)

Solving for \(x\):
\[
x = \frac{\frac{5}{2}}{-\frac{3}{4}} = \frac{5}{2} \cdot \frac{-4}{3} = -\frac{10}{3}
\]

2. \(\frac{5}{2}x = -\frac{3}{4}\)

Solving for \(x\):
\[
x = \frac{-\frac{3}{4}}{\frac{5}{2}} = -\frac{3}{4} \cdot \frac{2}{5} = -\frac{3}{10}
\]

**Conclusion:** These equations do not have the same solution.

---

### Pair 3:
1. \(\frac{x}{3.2} = 1.8\)

Solving for \(x\):
\[
x = 1.8 \cdot 3.2 = 5.76
\]

2. \(1.8x = 3.2\)

Solving for \(x\):
\[
x = \frac{3.2}{1.8} = \frac{32}{18} = \frac{16}{9} \approx 1.78
\]

**Conclusion:** These equations do not have the same solution.

---

### Pair 4:
1. \(-3.2x = 0.64\)

Solving for \(x\):
\[
x = \frac{0.64}{-3.2} = -0.2
\]

2. \(x \cdot 4 = -0.05\)

Solving for \(x\):
\[
x = \frac{-0.05}{4} = -0.0125
\]

**Conclusion:** These equations do not have the same solution.

---

After reviewing all pairs of equations, none of the pairs has the same solution. If you have more pairs or further instructions, feel free to share!

Answer 8

Apologies for the confusion. Let's carefully evaluate each pair to find out which ones have the same solution.

1. **Pair 1:**
- \( \frac{3}{8}x = 1 \)
- \( x = \frac{1}{\frac{3}{8}} = \frac{8}{3} \)

- \( \frac{1}{3}x = \frac{1}{8} \)
- \( x = \frac{1}{\frac{1}{3}} \cdot \frac{1}{8} = 3 \cdot \frac{1}{8} = \frac{3}{8} \)

**Conclusion:** Different solutions.

2. **Pair 2:**
- \( -\frac{3}{4}x = \frac{5}{2} \)
- \( x = \frac{\frac{5}{2}}{-\frac{3}{4}} = -\frac{10}{3} \)

- \( \frac{5}{2}x = -\frac{3}{4} \)
- \( x = \frac{-\frac{3}{4}}{\frac{5}{2}} = -\frac{3}{10} \)

**Conclusion:** Different solutions.

3. **Pair 3:**
- \( \frac{x}{3.2} = 1.8 \)
- \( x = 1.8 \cdot 3.2 = 5.76 \)

- \( 1.8x = 3.2 \)
- \( x = \frac{3.2}{1.8} \approx 1.78 \)

**Conclusion:** Different solutions.

4. **Pair 4:**
- \( -3.2x = 0.64 \)
- \( x = \frac{0.64}{-3.2} = -0.2 \)

- \( x \cdot 4 = -0.05 \)
- \( x = \frac{-0.05}{4} = -0.0125 \)

**Conclusion:** Different solutions.

After reviewing all pairs once again and confirming the calculations:

- **None of the pairs of equations provided have the same solution.**

However, if I must choose a pair to check for potential confusion among common pairs, I can say **Pair 3** is the one that appears simpler, but still does not yield the same answer ultimately.

If there's anything else I can assist you with, please let me know!

Answer 9

Let's carefully solve Pair 4:

1. **Equation 1:**
\[
-3.2x = 0.64
\]
To solve for \( x \):
\[
x = \frac{0.64}{-3.2} = -0.2
\]

2. **Equation 2:**
\[
\frac{x}{4} = -0.05
\]
To solve for \( x \):
\[
x = -0.05 \cdot 4 = -0.2
\]

### Conclusion:
Both equations yield the same solution:
\[
x = -0.2
\]

Thus, **Pair 4: \(-3.2x = 0.64\) and \(\frac{x}{4} = -0.05\) has exactly the same solution.**

If you have any more questions or need further clarification, feel free to ask!