Question

Which equation has a different solution than the rest?A. x/4 equal negative one b. x/-2 equal 2 c. negative twelve x equals forty eight d. sixteen x equal sixty four

Answer 1

Let's solve each equation for \( x \):

A. \( \frac{x}{4} = -1 \)

To isolate \( x \), multiply both sides by 4:
\[
x = -1 \times 4 = -4
\]

B. \( \frac{x}{-2} = 2 \)

To isolate \( x \), multiply both sides by -2:
\[
x = 2 \times -2 = -4
\]

C. \( -12x = 48 \)

To isolate \( x \), divide both sides by -12:
\[
x = \frac{48}{-12} = -4
\]

D. \( 16x = 64 \)

To isolate \( x \), divide both sides by 16:
\[
x = \frac{64}{16} = 4
\]

Now, let's summarize the solutions:
- A: \( x = -4 \)
- B: \( x = -4 \)
- C: \( x = -4 \)
- D: \( x = 4 \)

The equation that has a different solution than the rest is **D. \( 16x = 64 \)**, since it yields \( x = 4 \), while all other equations yield \( x = -4 \).