Kelia is solving an equation for x

Question

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. 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

+

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6

=

1
4 plus Start Fraction x over 6 End Fraction equals 1

6 + 4x = 1
6

+

4
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=

1
6 plus 4 x equals 1

4 + 6x = 1
4

+

6
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=

1
4 plus 6 x equals 1

6 + x4 = 1.../

Answer 1

To determine which equation Kelia might be solving, we can look for the equation that would typically require multiplication by 4 to eliminate a fraction or simplify the equation.

1. For the first equation, \( 4 + \frac{x}{6} = 1 \):

   • If she multiplies both sides by 4, the left side becomes \( 4 \cdot 4 + \frac{x}{6} \cdot 4 = 16 + \frac{4x}{6} \), which does not simplify neatly. This is unlikely.

2. For the second equation, \( 6 + 4x = 1 \):

   • If she multiplies both sides by 4, it becomes \( 4 \cdot 6 + 4 \cdot 4x = 24 + 16x \), which doesn't seem relevant to fractions. This is also unlikely.

3. For the third equation, \( 4 + 6x = 1 \):

   • If she multiplies both sides by 4, it becomes \( 4 \cdot 4 + 4 \cdot 6x = 16 + 24x \), which does not simplify to eliminate a potential fraction.

4. For the fourth equation, \( 6 + \frac{x}{4} = 1 \):

   • If she multiplies both sides by 4, it becomes \( 4 \cdot 6 + 4 \cdot \frac{x}{4} = 24 + x \), which could potentially be a step in simplifying the equation.

Given that the action of multiplying both sides by 4 is commonly used to eliminate a fraction, the fourth equation \( 6 + \frac{x}{4} = 1 \) is the most likely candidate that Kelia is solving, as multiplying by 4 rather directly simplifies the fraction.

Therefore, the answer is: 6 + x/4 = 1.