Question

Which equation has only one solution?

a. 3x² = −3x²
b. −(7x−3) = −7x³
c. 5 (x+3) = 5 x¹⁵
d. 2x-1 = −7²x

Answer 1

The equation that has only one solution is option d. 2x-1 = -7²x. To solve this equation, simplify, combine like terms, and isolate x.

Step-by-step explanation:

The equation that has only one solution is option d. 2x-1 = -7²x.

To solve this equation, we can start by simplifying the equation:

2x - 1 = -49x

Add 49x to both sides of the equation to isolate x:

2x + 49x - 1 = 0

Combine like terms:

51x - 1 = 0

Add 1 to both sides of the equation:

51x = 1

Divide both sides by 51:

x = 1/51

So, the equation 2x - 1 = -7²x has only one solution, which is x = 1/51.