Question

Which equation has only one solution?

a) (|x – 5| = –1)
b) (|-6 – 2x| = 8)
c) (|5x + 10| = 10)
d) (|-6x + 3| = 0)

Answer 1

The equation that has only one solution is option d) (|-6x + 3| = 0). To solve this equation, we can first remove the absolute value by setting the expression inside the absolute value equal to zero, since the absolute value of any number is zero only when the number itself is zero. The equation |-6x + 3| = 0 can be rewritten as -6x + 3 = 0. Solving for x, we get x = 1/2.

Step-by-step explanation:

The equation that has only one solution is option d) (|-6x + 3| = 0).

To solve this equation, we can first remove the absolute value by setting the expression inside the absolute value equal to zero, since the absolute value of any number is zero only when the number itself is zero.

The equation |-6x + 3| = 0 can be rewritten as -6x + 3 = 0. Solving for x, we get x = 1/2.