Select the two expressions that are equivalent.(2 points) Responses −7y+3x negative 7 y plus 3 x −3x+7y negative 3 x plus 7 y −7y−3x negative 7 y minus 3 x 7y−3x

Answer 1

To identify the equivalent expressions, let's first simplify or evaluate the given expressions:

1. Expression 1: \(-7y + 3x\)
2. Expression 2: \(-3x + 7y\)
3. Expression 3: \(-7y - 3x\)
4. Expression 4: \(7y - 3x\)

Now let's compare them:

• Expression 1: \(-7y + 3x\) can be rewritten as \(3x - 7y\).
• Expression 2: \(-3x + 7y\) cannot be simplified to match any other.
• Expression 3: \(-7y - 3x\) can be rewritten as \(-3x - 7y\).
• Expression 4: \(7y - 3x\) can be rewritten as \(7y - 3x\).

Now looking for equivalences:

• Expression 1 and Expression 4 relate directly in terms of their coefficients with a difference only in order, but are not equal.
• Expression 2 and Expression 3: In observation, despite the signs, they cannot equal each other due to having the opposite system of signs.

After analyzing, note:

The expressions that are equivalent based on their rearrangements are Expression 1 (-7y + 3x) and Expression 4 (7y - 3x).

Thus, the equivalent expressions are:

1. \(-7y + 3x\)
2. \(7y - 3x\)