Question

Which statement is true about the equation 4.5z = 4.5z − 6.25 + 6.25?

A.) It has no solution.
B.) It has one solution.
C.) It has two solutions.
D.) It has infinitely many solutions.

Answer 1

D - It has infinitely many solutions.

Answer 2

D.It has infinite many solutions

Explanation:

We are given that an equation

`4.5z=4.5 z-6.25+6.25`

We have to find true statement about the equation.

`4.5 z-4.5 z=-6.25+6.25`

Subtraction property of equality

`0=-6.25+6.25`

Combine like terms

`0=0`

By simplification

It is a condition of infinite solution.

Hence, the equation has infinitely many solutions.

Answer:D.It has infinite many solutions.