Question

K is solving an equestion for x. Her second step is to multiply both sides of the equation by 4. Which equation is she solving a. 4 + 6X equals 1 B.6 + X/ 4 = one. C. four plus x/6 equal one d .six plus four x equal one

Answer 1

To find the equation K is solving that leads to her second step being to multiply both sides by 4, we need to consider the options given:

a. \(4 + 6x = 1\)

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

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

d. \(6 + 4x = 1\)

We can analyze each equation and see what happens when we make the second step of multiplying both sides by 4:

- **For option (a)** \(4 + 6x = 1\):
- This equation does not require multiplication of both sides by 4 to isolate \(x\).

- **For option (b)** \(6 + \frac{x}{4} = 1\):
- Multiply both sides by 4:
\[
4 \cdot (6 + \frac{x}{4}) = 4 \cdot 1 \implies 24 + x = 4
\]

- **For option (c)** \(4 + \frac{x}{6} = 1\):
- Multiply both sides by 6:
\[
6 \cdot (4 + \frac{x}{6}) = 6 \cdot 1 \implies 24 + x = 6
\]

- **For option (d)** \(6 + 4x = 1\):
- This equation does not require multiplication of both sides by 4 to isolate \(x\).

From these analyses, the only option where K would need to multiply both sides by 4 as her second step is option (b):

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