Question

Please Help!!

Which statement is true about the equation fraction 3/4z − 1/4z + 3 = fraction 2/4z + 5?

Select one:

a. It has no solution.
b. It has one solution.
c. It has two solutions.
d. It has infinitely many solutions.

Answer 1

For this case we have the following equation:
(3/4) z - (1/4) z + 3 = (2/4) z + 5
Rewriting we have:
z (3/4 - 1/4) + 3 = (2/4) z + 5
z ((3-1) / 4) + 3 = (2/4) z + 5
z (2/4) + 3 = (2/4) z + 5
(2/4) z + 3 = (2/4) z + 5
(2/4) z - (2/4) z + 3 = 5
3 = 5
Equality is not met.
Answer:
a. It has no solution.