5. (2 points)

Question

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 \( x \).