Kelia is solving an equation for x

Question

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

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

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

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

6 + 4x = 1

Answer 1

To determine which equation Kelia is solving, we need to find an equation where multiplying both sides by 4 provides a logical continuation in her steps.

1. Equation: \(6 + \frac{x}{4} = 1\)

   • Multiplying both sides by 4: \[ 4(6 + \frac{x}{4}) = 4(1) \implies 24 + x = 4 \quad \text{(valid)} \]

2. Equation: \(4 + \frac{x}{6} = 1\)

   • Multiplying both sides by 4: \[ 4(4 + \frac{x}{6}) = 4(1) \implies 16 + \frac{4x}{6} = 4 \quad \text{(not a simple equation in terms of x)} \]

3. Equation: \(4 + 6x = 1\)

   • Multiplying both sides by 4: \[ 4(4 + 6x) = 4(1) \implies 16 + 24x = 4 \quad \text{(valid, but does not appear to be a common format)} \]

4. Equation: \(6 + 4x = 1\)

   • Multiplying both sides by 4: \[ 4(6 + 4x) = 4(1) \implies 24 + 16x = 4 \quad \text{(valid, also not in a simple format)} \]

Among these options, the most straightforward result from multiplying both sides is the first equation:

\(6 + \frac{x}{4} = 1\)

So, Kelia is likely solving \(6 + \frac{x}{4} = 1\).