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 D. |–6x + 3| = 0.

Step-by-step explanation:

Among the given options, the equation that has only one solution is D. |–6x + 3| = 0.

To solve this equation, we need to remove the absolute value sign by setting the expression inside it equal to zero:

-6x + 3 = 0

Now, we can solve for x by isolating the variable:

-6x = -3

x = -3/-6

x = 1/2

Therefore, the equation |–6x + 3| = 0 has only one solution, which is x = 1/2.