Question

Fill the empty slots by dragging tiles from the left to show the next step for solving the equation.
Solve the two-step equation and identify the steps.

\[ 2 = -(7)/(4) + (1)/(4) x \]

1. \(\square\) \((7)/(4)\) to both sides.
2. \(\square\) by 4.

The solution is \( x = \square \) \(\checkmark\).

Answer 1

To solve the equation

\[
2 = -\frac{7}{4} + \frac{1}{4} x,
\]

we need to follow these steps:

1. **Add \(\frac{7}{4}\) to both sides:**

This gives:
\[
2 + \frac{7}{4} = \frac{1}{4} x.
\]
To add \(2\) and \(\frac{7}{4}\), we convert \(2\) to a fraction with a common denominator:
\[
2 = \frac{8}{4},
\]
so:
\[
\frac{8}{4} + \frac{7}{4} = \frac{15}{4}.
\]
Thus, we have:
\[
\frac{15}{4} = \frac{1}{4} x.
\]

2. **Multiply both sides by 4:**

This gives:
\[
4 \cdot \frac{15}{4} = x,
\]
which simplifies to:
\[
x = 15.
\]

Putting this into the format given in your question, we have:

1. **Add \(\frac{7}{4}\) to both sides.**
2. **Multiply by 4.**

The solution is \( x = 15 \) ✔️.