Question Which solution for the value of x in the figure is incorrect? A.2x = x + 75 x = 75
B.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.
Solution A is incorrect because the equation 2x = x + 75 simplifies to x = 75, not x = 75. The solution does not match the original equation.
Therefore, the correct answer is A. Solution A is incorrect.
The incorrect solution for the value of x in the figure is Solution B.
To determine which solution is incorrect, we need to check if the value of x satisfies the equation provided in each solution.
Solution A: 2x = x + 75
To find the value of x, we subtract x from both sides of the equation:
2x - x = x + 75 - x
x = 75
Since the value of x is equal to 75, the solution A is correct.
Solution B: 2x + x + 75 = 180
To find the value of x, we simplify the equation:
3x + 75 = 180
Subtract 75 from both sides of the equation:
3x = 180 - 75
3x = 105
Divide both sides of the equation by 3:
x = 35
Since the value of x is equal to 35, the solution B is also correct.
Therefore, neither solution is incorrect.