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

6 + x4 = 1
6 plus Start Fraction x over 4 End Fraction equals 1

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

4 + 6x = 1

Answer 1

To find which equation Kelia could be solving where her second step is to multiply both sides by 4, we need to consider which of these equations would be transformed by multiplying both sides by 4.

Let's examine each option:

1. **\(4 + \frac{x}{6} = 1\)**
- If we multiplied both sides by 4:
- \(4(4 + \frac{x}{6}) = 4(1)\) which results in \(16 + \frac{4x}{6} = 4\).

2. **\(6 + \frac{x}{4} = 1\)**
- If we multiplied both sides by 4:
- \(4(6 + \frac{x}{4}) = 4(1)\) which results in \(24 + x = 4\).

3. **\(6 + 4x = 1\)**
- If we multiplied both sides by 4:
- \(4(6 + 4x) = 4(1)\) which results in \(24 + 16x = 4\).

4. **\(4 + 6x = 1\)**
- If we multiplied both sides by 4:
- \(4(4 + 6x) = 4(1)\) which results in \(16 + 24x = 4\).

From the above transformations:

- In the first equation, after multiplying by 4, we have \(\frac{4x}{6}\) which still involves a fraction.
- The second equation leads to \(x = 4 - 24\), which is straightforward.
- The third and fourth equations lead to linear equations with integer coefficients.

However, the equation that might specifically require meaningful multiplication to isolate \(x\) effectively is usually the one where the term itself (without the multiplication) specifies \(x\) outside of a fraction.

Amongst all the choices, it's ambiguous without context, but **\(6 + \frac{x}{4} = 1\)** appears to be a common structure that often requires adjusting fractions by multiplying through to eliminate them:

Thus, **the answer is**: **\(6 + \frac{x}{4} = 1\)**.