Question

Kelia is solving an equation for x
. Her second step is to multiply both sides of the equation by 4. Which equation is she solving?(1 point)
Responses

4 + 6x = 1
4 plus 6 x equals 1

6 + 4x = 1
6 plus 4 x equals 1

4 + x6 = 1
4 plus Start Fraction x over 6 End Fraction equals 1

6 + x4 = 1

Answer 1

To determine the equation that, when multiplied by 4, results in a valid second step, we need to look for an equation where multiplying both sides by 4 will lead to a straightforward transformation.

Let's analyze each option:

1. **4 + 6x = 1**:
- If we multiply both sides by 4:
\( 4 \cdot (4 + 6x) = 4 \cdot 1 \)
\( 16 + 24x = 4 \) (valid transformation)

2. **6 + 4x = 1**:
- If we multiply both sides by 4:
\( 4 \cdot (6 + 4x) = 4 \cdot 1 \)
\( 24 + 16x = 4 \) (also a valid transformation)

3. **4 + x/6 = 1**:
- If we multiply both sides by 4:
\( 4 \cdot (4 + x/6) = 4 \cdot 1 \)
\( 16 + \frac{4x}{6} = 4 \)
\( 16 + \frac{2x}{3} = 4 \) (valid but doesn't involve x fully multiplying)

4. **6 + x/4 = 1**:
- If we multiply both sides by 4:
\( 4 \cdot (6 + x/4) = 4 \cdot 1 \)
\( 24 + x = 4 \) (valid but again doesn't involve multiplying x fully)

Looking at the transformations, the first two equations would yield a solvable equation in the next step. However, we are interested in the equation that most sensibly leads to multiplying and impacting the coefficient of x.

Typically, in math problems seeking for variable isolation or conversion into standard forms, the inclusion of x directly in a form that makes the multiplication by 4 significant would lead us towards **6 + 4x = 1**.

Thus, the equation that she is most likely solving, where multiplying both sides by 4 genuinely transforms the relationship involving x, is:

**6 + 4x = 1**.