Question

Consider the two linear expressions. Are the two expressions equivalent?

-(3x - 7 - 1/2) and 7.5 - 3x

Equivalent

Not equivalent

Answer 1

Since the equation is true for all values of x, the two expressions are equivalent

Explanation:

The two expressions are equivalent.

To show that the two expressions are equivalent, we can set them equal to each other and see if the resulting equation is true for all values of x.-(3x - 7 - 1/2) = 7.5 - 3x

Multiplying both sides by -1, we get:

3x - 7 - 1/2 = -7.5 + 3x

Combining like terms, we get:3x - 7.5 = -7.5 + 3x

This equation simplifies to:0 = 0

Answer 2

• Yes, equivalent

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Simplify the first expression and compare with the second one:

• - (3x - 7 - 1/2) =
• - (3x - 7 - 0.5) =
• - (3x - 7.5) =
• - 3x + 7.5 =
• 7.5 - 3x

Since we got same expression as the second one, they are equivalent.