Which equation has a different solution than the rest?(1 point)

Question

Responses

−12x=48
negative 12x equals 48

x4=−1
Start Fraction x over 4 End Fraction equals negative 1

x−2=2
Start Fraction x over negative 2 equals 2

16x=64

Answer 1

To determine which equation has a different solution than the others, we'll solve each equation for \(x\).

1. For the equation \(-12x = 48\):

   \[ x = \frac{48}{-12} = -4 \]

2. For the equation \( \frac{x}{4} = -1\):

   \[ x = -1 \times 4 = -4 \]

3. For the equation \(\frac{x}{-2} = 2\):

   \[ x = 2 \times -2 = -4 \]

4. For the equation \(16x = 64\):

   \[ x = \frac{64}{16} = 4 \]

Now, let's summarize the solutions:

• \(-12x = 48\) gives \(x = -4\)
• \( \frac{x}{4} = -1\) gives \(x = -4\)
• \(\frac{x}{-2} = 2\) gives \(x = -4\)
• \(16x = 64\) gives \(x = 4\)

From this, we can see that the equation \(16x = 64\) has a different solution (\(x = 4\)) compared to the other equations which all have the solution \(x = -4\).

Thus, the equation that has a different solution is:

\(16x = 64\).