Question

Which statement is true about the equation 3/4 z - 1/4 z + 1 = 2/4 z + 1?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.​

Answer 1

D, infinitely many solutions

Explanation:

Let's first simplify the left side:

3/4 z - 1/4 z + 1 = 2/4 z + 1

Clearly, once you simplify the left side, it's the exact same as the right side. This is a true equation: 2/4 z + 1 = 2/4 z + 1

For any value that you put in for z, it will always be equal, no matter what.

Thus, the equation has D, infinitely many solutions.

Hope this helps!