Question

Which graph best represents the solution to 12x−2=3
1
2
𝑥
−
2
=
3
?(1 point)
Responses

Answer 1

To solve the equation \( 12x - 2 = 3 \), let's first isolate \( x \).

1. **Add 2 to both sides:**
\[
12x - 2 + 2 = 3 + 2
\]
which simplifies to:
\[
12x = 5
\]

2. **Divide both sides by 12:**
\[
x = \frac{5}{12}
\]

So, the solution is \( x = \frac{5}{12} \).

Now, you want to represent this on a graph. The best representation for this solution would be a vertical line at \( x = \frac{5}{12} \). If there are multiple choices in a graph format provided, look for one that indicates a line or point at \( x = \frac{5}{12} \).

If you can provide the options available, I can help you choose the correct graph!