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 + 4x = 1
6 plus 4 x equals 1

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

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

4 + x6 = 1

Answer 1

To determine which equation Kelia is solving, we need to consider how multiplying both sides of an equation by 4 would affect it.

Let's analyze each option:

1. 6 + 4x = 1

   • If she multiplies both sides by 4: \( 4(6 + 4x) = 4(1) \) \( 24 + 16x = 4 \) (valid step)

2. 6 + x/4 = 1

   • If she multiplies both sides by 4: \( 4(6 + x/4) = 4(1) \) \( 24 + x = 4 \) (valid step)

3. 4 + 6x = 1

   • If she multiplies both sides by 4: \( 4(4 + 6x) = 4(1) \) \( 16 + 24x = 4 \) (valid step)

4. 4 + x/6 = 1

   • If she multiplies both sides by 4: \( 4(4 + x/6) = 4(1) \) \( 16 + \frac{2}{3}x = 4 \) (valid step)

Based on the analysis, all of these steps result in valid equations. However, the question implicitly suggests that the equation should fit naturally into a context where multiplying by 4 is likely to yield a straightforward transformation.

The first choice, 6 + 4x = 1, stands out because it has a term that is directly affected by multiplication (the 4x term), making it a likely candidate for a problem where multiplying out is a key focus.

Thus, it is likely that the equation Kelia is solving is 6 + 4x = 1.