Question

5. (2 points)

Solve using inverse operations. Use the sketch pad to show your work:

Y-5=3(x-2)


MUST show your work.

Answer 1

To solve the equation \( Y - 5 = 3(x - 2) \) using inverse operations, follow these steps:

### Step 1: Isolate the term involving \( Y \)

From the equation:

\[
Y - 5 = 3(x - 2)
\]

Add 5 to both sides to isolate \( Y \):

\[
Y = 3(x - 2) + 5
\]

### Step 2: Distribute the 3

Now distribute the 3 on the right side:

\[
Y = 3x - 6 + 5
\]

Combine like terms:

\[
Y = 3x - 1
\]

### Solution

The equation in terms of \( Y \) is:

\[
Y = 3x - 1
\]

### Summary of operations

1. **Added 5** to both sides to isolate \( Y \).
2. **Distributed** 3 across \( (x - 2) \).
3. **Combined** like terms to simplify.

So the final answer is:

\[
Y = 3x - 1
\]

This shows how to use inverse operations to solve for \( Y \) in terms of \( x \).