Question

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

16x=64
16x equals 64

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

−12x=48
negative 12x equals 48

x−2=2

Answer 1

Let's solve each equation to find their respective solutions:

1. **16x = 64**
- Divide both sides by 16:
\[
x = \frac{64}{16} = 4
\]

2. **x/4 = -1**
- Multiply both sides by 4:
\[
x = -1 \times 4 = -4
\]

3. **-12x = 48**
- Divide both sides by -12:
\[
x = \frac{48}{-12} = -4
\]

4. **x - 2 = 2**
- Add 2 to both sides:
\[
x = 2 + 2 = 4
\]

Now, let's summarize the solutions:
- For \( 16x = 64 \), the solution is \( x = 4 \).
- For \( \frac{x}{4} = -1 \), the solution is \( x = -4 \).
- For \( -12x = 48 \), the solution is \( x = -4 \).
- For \( x - 2 = 2 \), the solution is \( x = 4 \).

The equations that yield the same solutions are:
- \( 16x = 64 \) leads to \( x = 4 \).
- \( -12x = 48 \) leads to \( x = -4 \).
- \( x - 2 = 2 \) leads to \( x = 4 \).
- \( \frac{x}{4} = -1 \) leads to \( x = -4 \).

The equation with a different solution is **x/4 = -1** because it results in \( x = -4 \), while the others yield \( x = 4 \).