Which equation has the same solution for x as x−12=40
?(1 point)
Responses
x4=13
x over 4 is equal to 13
x+12=−40
x plus 12 is equal to negative 40
x2=14
x over 2 is equal to 14
12−x=40
12 minus x is equal to 40
To find the equation that has the same solution for x as x - 12 = 40, we need to manipulate the given equation to isolate x.
Starting with x - 12 = 40, we can add 12 to both sides of the equation to get rid of the -12:
x - 12 + 12 = 40 + 12
This simplifies to:
x = 52
Now that we know the solution for x is 52, we can compare it to the answer choices:
1) x^4 = 13: This equation does not have the same solution as x - 12 = 40 because when we substitute x = 52 into this equation, we get 52^4 = 7311616, which is not equal to 13.
2) x/4 = 13: This equation does not have the same solution as x - 12 = 40 because when we substitute x = 52 into this equation, we get 52/4 = 13, which is equal to 13.
3) x + 12 = -40: This equation does not have the same solution as x - 12 = 40 because when we substitute x = 52 into this equation, we get 52 + 12 = 64, which is not equal to -40.
4) 12 - x = 40: This equation does not have the same solution as x - 12 = 40 because when we substitute x = 52 into this equation, we get 12 - 52 = -40, which is equal to -40.
So the correct answer is 12 - x = 40.