Which equation has the same solution for x as this equation: x−12=40 ?
A. x4=13x over 4 is equal to 13
B. 12−x=4012 minus x is equal to 40
C. x2=14x over 2 is equal to 14
D. x+12=−40x plus 12 is equal to negative 40
B. 12−x=4012 minus x is equal to 40
To find an equation with the same solution for x as the equation x - 12 = 40, we need to perform the same operations on both sides of the equation in order to isolate x.
First, let's add 12 to both sides of the equation:
x - 12 + 12 = 40 + 12
x = 52
Now, let's evaluate each option by substituting x = 52:
A. x^4 = 13
Substituting x = 52:
52^4 = 13 -> 7311616 = 13 (Not the same solution)
B. 12 - x = 40
Substituting x = 52:
12 - 52 = 40 -> -40 = 40 (Not the same solution)
C. x^2 = 14
Substituting x = 52:
52^2 = 14 -> 2704 = 14 (Not the same solution)
D. x + 12 = -40
Substituting x = 52:
52 + 12 = -40 -> 64 = -40 (Not the same solution)
Therefore, none of the given options have the same solution for x as the equation x - 12 = 40.