What is 2y-1 increased by 9y+19?

Let’s simplify the expression 2y-1 increased by 9y+19.

Step 1: Combine like terms

2y-1 increased by 9y+19 means we add 2y-1 and 9y+19.

(2y – 1) + (9y + 19)

Combining like terms, we have:

2y + 9y – 1 + 19

Step 2: Simplify

11y + 18

Therefore, 2y-1 increased by 9y+19 is equal to 11y + 18.

Additional Examples

Let’s solve some additional examples to reinforce our understanding:

Example 1:

Simplify the expression: 3x-5 increased by 7x+12

(3x – 5) + (7x + 12)

Combining like terms, we have:

3x + 7x – 5 + 12

10x + 7

Therefore, 3x-5 increased by 7x+12 is equal to 10x + 7.

Example 2:

Simplify the expression: 2y-10 increased by -y+15

(2y – 10) + (-y + 15)

Combining like terms, we have:

2y – y – 10 + 15

y + 5

Therefore, 2y-10 increased by -y+15 is equal to y + 5.

Applications

The simplified expression 11y + 18 can be used in various applications, such as:

Mathematics:

• Solving equations
• Simplifying algebraic expressions
• Proving identities

Physics:

• Calculating displacement
• Determining velocity
• Measuring acceleration

Engineering:

• Designing structures
• Analyzing forces
• Optimizing systems

Tables

FAQs

Q1: What is the simplified form of 2y-1 increased by 9y+19?

A1: 11y + 18

Q2: How do I simplify expressions like this?

A2: Combine like terms.

Q3: Can I use this simplified expression in real-world applications?

A3: Yes, in mathematics, physics, and engineering.

Q4: How can I improve my understanding of this topic?

A4: Practice with more examples and apply them to different scenarios.

Q5: What are some effective strategies for solving these types of problems?

A5: Identify like terms and combine them carefully. Check your work by substituting values.

Q6: What is a “creative new word” that can help me generate ideas for new applications?

A6: “Synergize” – Combine different concepts and perspectives to create innovative solutions.