Which expression has the same value as 6x+6y ? -6x+6y 6y+(-6x) -6y-6x 6x-(-6y)

Identify Given Expression: Identify the given expression and the options to compare. Given expression: 6x + 6y Options to compare: A) -6x + 6y B) 6y + (-6x) C) -6y - 6x D) 6x - (-6y)Compare Option A: Compare option A with the given expression. Given expression: 6x + 6y Option A: -6x + 6y The term -6x in option A is the additive inverse of 6x in the given expression, so option A does not have the same value as the given expression.Compare Option B: Compare option B with the given expression. Given expression: 6x + 6y Option B: 6y + (-6x) The term (-6x) in option B is the additive inverse of 6x in the given expression, so option B does not have the same value as the given expression.Compare Option C: Compare option C with the given expression. Given expression: 6x + 6y Option C: -6y - 6x Both terms in option C are the additive inverses of the corresponding terms in the given expression, so option C does not have the same value as the given expression.Compare Option D: Compare option D with the given expression. Given expression: 6x + 6y Option D: 6x - (-6y) The term -(-6y) in option D is the same as 6y because the double negative cancels out. Therefore, option D simplifies to 6x + 6y, which is the same as the given expression.

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Which expression has the same value as

6 x+6 y

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-6 x+6 y

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6 y+(-6 x)

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-6 y-6 x

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6 x-(-6 y)

Identify Given Expression: Identify the given expression and the options to compare. $\newline$ Given expression: $6x + 6y$ $\newline$ Options to compare: $\newline$ A) $-6x + 6y$ $\newline$ B) $6y + (-6x)$ $\newline$ C) $-6y - 6x$ $\newline$ D) $6x - (-6y)$
Compare Option A: Compare option A with the given expression. $\newline$ Given expression: $6x + 6y$ $\newline$ Option A: $-6x + 6y$ $\newline$ The term $-6x$ in option A is the additive inverse of $6x$ in the given expression, so option A does not have the same value as the given expression.
Compare Option B: Compare option B with the given expression. $\newline$ Given expression: $6x + 6y$ $\newline$ Option B: $6y + (-6x)$ $\newline$ The term $(-6x)$ in option B is the additive inverse of $6x$ in the given expression, so option B does not have the same value as the given expression.
Compare Option C: Compare option C with the given expression. $\newline$ Given expression: $6x + 6y$ $\newline$ Option C: $-6y - 6x$ $\newline$ Both terms in option C are the additive inverses of the corresponding terms in the given expression, so option C does not have the same value as the given expression.
Compare Option D: Compare option D with the given expression. $\newline$ Given expression: $6x + 6y$ $\newline$ Option D: $6x - (-6y)$ $\newline$ The term $-(-6y)$ in option D is the same as $6y$ because the double negative cancels out. Therefore, option D simplifies to $6x + 6y$ , which is the same as the given expression.