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)

Question

Responses

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

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

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

4 + x6 = 1

Answer 1

To determine which equation Kelia is solving that leads her to multiply both sides of the equation by 4, we need to look for an equation where the variable \( x \) is divided by 4 (for example, in the form \( \frac{x}{4} \)).

Let's examine each option:

1. \( 6 + \frac{x}{4} = 1 \)
   Here, multiplying both sides by 4 would allow her to eliminate the fraction. This fits the step she would take.

2. \( 4 + 6x = 1 \)
   In this equation, multiplying by 4 wouldn't simplify it effectively related to \( x \).

3. \( 6 + 4x = 1 \)
   Similar to the previous one, multiplying by 4 wouldn't have a direct simplification regarding \( x \).

4. \( 4 + \frac{x}{6} = 1 \)
   This has \( x \) divided by 6, not 4.

Since the only equation that includes \( \frac{x}{4} \) is the first one:

The correct answer is: 6 + \(\frac{x}{4}\) = 1.