Option B. 3x-8=3x+8 has exactly one solution.
To see why, we can simplify the equation:
3x - 8 = 3x + 8
Subtracting 3x from both sides:
-8 = 8
This is clearly false, which means that there is no solution.
But wait! We made a mistake when simplifying the equation - we forgot to cancel out the 3x terms!
So let's try again:
3x - 8 = 3x + 8
Subtracting 3x from both sides:
-8 = 8
Adding 8 to both sides:
0 = 16
This is still false, which means that there is no solution.
Therefore, we can conclude that none of the equations from the given options has exactly one solution.
Which of the following equations has exactly one solution?
A. −3x+8=−3x−8
B. 3x−8=3x+8
C. −3x−8=3x−8
D. 3=−8x+3
1 answer