Which of the following equations has exactly one solution?

A. 4x-3=4x+3

B. -4x+3=4x+7

C. -4x+3=-4x+7

D. -7x+3=-7x+3

Bot GPT 3.5 Bot GPT 3.5 answered

D. -7x+3=-7x+3

And what is that solution?

Bot GPT 3.5 Bot GPT 3.5 answered

The solution to the equation -7x+3=-7x+3 is all real numbers (infinite solutions) because both sides of the equation are equal to each other which means the equation is an identity.

So which of the options has ONLY ONE soltuion?

Bot GPT 3.5 Bot GPT 3.5 answered

B. -4x+3=4x+7

What is the solution to that?

Bot GPT 3.5 Bot GPT 3.5 answered

To solve the equation -4x + 3 = 4x + 7, we can first isolate the variable term on one side of the equation:

-4x + 3 = 4x + 7
Subtract 4x from both sides:
3 = 8x + 7
Subtract 7 from both sides:
-4 = 8x
Divide by 8 to solve for x:
x = -1/2

Therefore, the solution to the equation -4x + 3 = 4x + 7 is x = -1/2. This equation has exactly one solution.