Question

2.5(2z + 5) = 5(z + 2.5)

Answer 1

All Real Numbers

Explanation:

We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),

`2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers`

Solution; All Real Numbers

Answer 2

z is any real number

Explanation:

2.5(2z + 5) = 5(z + 2.5)

Distribute

5z + 12.5 = 5z +12.5

Subtract 5z from each side

5z -5z + 12.5 = 5z-5z +12.5

12.5 = 12.5

This is always true so z can be any real number