Which of the following equations has exactly one solution?

Question

A. 4x-3=4x+3

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

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

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

Answer 1

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

Answer 2

And what is that solution?

Answer 3

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.

Answer 4

So which of the options has ONLY ONE soltuion?

Answer 5

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

Answer 6

What is the solution to that?

Answer 7

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.