Question Which solution for the value of x in the figure is incorrect? 2x = x + 75 x = 75 2x + x + 75 = 180 3x + 75 = 180 3x = 105 x = 35 (1 point) Responses
Solution A is incorrect.
Solution A is incorrect.
Solution B is incorrect.
Solution B is incorrect.
Both solutions are incorrect.
Both solutions are incorrect.
Neither solution is incorrect.
Both solutions are incorrect.
The correct answer is: Neither solution is incorrect.
To determine which solution for the value of x in the figure is incorrect, let's go through each solution and check it step by step.
Solution A: 2x = x + 75
To solve this equation, we need to isolate x by subtracting x from both sides:
2x - x = x + 75 - x
Simplifying this gives us:
x = 75
Solution B: 2x + x + 75 = 180
Combining like terms on the left side, we get:
3x + 75 = 180
To solve for x, we subtract 75 from both sides:
3x + 75 - 75 = 180 - 75
Simplifying this gives us:
3x = 105
Dividing both sides by 3, we find:
x = 35
Therefore, Solution B (x = 35) is the same as Solution C (3x + 75 = 180). They are both correct solutions and not incorrect.
Thus, the correct answer is: Neither solution is incorrect.