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Match the equivalent expressions.
x − 4x + 6y + (14x − 5y)
7x + y
11x + y
3x + 3y + 2(2x − y)
7x − 8y
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
5(x + y) + 6(x − y)
11x − y

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akposevictor

The given expressions and their equivalent expressions are:

  • x − 4x + 6y + (14x − 5y) ==> 11x + y
  • 3x + 3y + 2(2x − y) ==> 7x + y
  • (5x − 3y) − x + 3x − 5y ==> 7x - 8y
  • 4(x + y) − 3(x + y) ==> x + y
  • 5(x + y) + 6(x − y) ==> 11x - y

What are Equivalent Expressions?

Equivalent expressions are expressions that have the same value when evaluated or when you simplify each of them.

Let's evaluate and simplify each of the given expressions:

x − 4x + 6y + (14x − 5y)

Open bracket

x - 4x + 6y + 14x - 5y

Combine like terms

11x + y

Therefore, x − 4x + 6y + (14x − 5y) is equivalent to 11x + y

3x + 3y + 2(2x − y)

Open bracket

3x + 3y + 4x - 2y

Combine like terms

7x + y

Therefore, 3x + 3y + 2(2x − y) is equivalent to 7x + y.

(5x − 3y) − x + 3x − 5y

5x - 3y - x + 3x - 5y

7x - 8y

Therefore, (5x − 3y) − x + 3x − 5y is equivalent to 7x - 8y.

4(x + y) − 3(x + y)

4x + 4y - 3x - 3y

x + y

Therefore, 4(x + y) − 3(x + y) is equivalent to x + y.

5(x + y) + 6(x − y)

5x + 5y + 6x - 6y

11x - y

Therefore, 5(x + y) + 6(x − y) is equivalent to 11x - y.

Learn more about equivalent expressions on:

https://brainly.com/question/4348710

Answer:

CORRECT

Step-by-step explanation:

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