Question

Which of the following equations has no real solutions?

A.
9(x − 3) = 9x − 27
B.
9x − 3 = 9x − 3
C.
9x − 3 = 27x − 3
D.
9(x + 3) = 9(x + 10)

Answer 1

D.

Explanation:

A.

9 (x - 3) = 9x - 27 ➡ 0 = 0 (this has infinite solutions)

B.

9x - 3 = 9x - 3 ➡ 0 = 0 (has infinite solutions)

C.

9x - 3 = 27x - 3 ➡ x = 0 (has one solution)

D.

9 (x + 3) = 9(x + 10) ➡9x +27 = 9x +90➡ 9x -9x = 90 - 27 ➡ 0 = 63 (doesn't make sense so it has no solution)