Question

(07.06 LC)

Which statement is true about the equation 4.5z = 4.5z − 6.25 + 6.25?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answer 1

It has infinitely many solutions....because all real numbers satisfy the equation.

Good luck mate :P

Answer 2

The correct option is 4. The given equation has infinitely many solutions.

Explanation:

The given equation is

`4.5z=4.5z-6.25+6.25`

This equation can be written as

`4.5z=4.5z+0`

`4.5z=4.5z`

Subtract 4.5z from both the sides.

`4.5z-4.5z=4.5z-4.5z`

`0=0`

This statement is free from z and LHS=RHS, it means the this statement is true for any value of z.

Therefore the given equation has infinitely many solutions and the correct option is 4.