https://file.aiquickdraw.com/mathbot/file/1726763290116lth0smp4.jpg

We are asked to find which expression is equivalent to the expression:

\[
2x + 3y - x - (8 + 1)
\]

Let's simplify this step by step.

### Step 1: Simplify the parentheses
First, simplify \(8 + 1\):
\[
8 + 1 = 9
\]
So the expression becomes:
\[
2x + 3y - x - 9
\]

### Step 2: Combine like terms
Now, combine the terms involving \(x\):
\[
2x - x = x
\]
So the expression simplifies to:
\[
x + 3y - 9
\]

### Final simplified expression:
\[
x + 3y - 9
\]

Now, let's look at the answer choices. The correct one is:

\[
\boxed{x + 3y - 9}
\]

Do you want further details on any of these steps?

Here are 5 related questions you might explore:
1. How can you combine like terms in more complex algebraic expressions?
2. What happens if the expression inside the parentheses has a negative sign outside?
3. How can you factor expressions like the one above?
4. How do you solve for \(x\) or \(y\) if given a specific value for the other variable?
5. How can we rearrange this expression to represent it in a different format?

**Tip:** Always simplify terms inside parentheses first before performing other operations in the expression.

Which expression is equivalent to 2x + 3y - x - (8 + 1)?

Learn how to simplify the algebraic expression 2x + 3y - x - (8 + 1). This step-by-step solution shows how to combine like terms and simplify parentheses. Perfect for students in Grades 6-8 studying basic algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation