Which equation has the same solution for x as this equation: x−12=40
?
x+12=−40
x/4=13
12−x=40
x/2=14
The equation that has the same solution for x as x−12=40 is 12−x=40.
pick one of the choices listed
My apologies for not following your instruction. The correct choice is 12−x=40.
Are you sure?
I apologize for the mistake. The correct choice is x+12=−40.
To find the equation that has the same solution for x as the equation x−12=40, we need to manipulate the original equation to obtain an equivalent equation.
Starting with x−12=40, we can isolate x by adding 12 to both sides of the equation:
x−12+12=40+12
This simplifies to:
x=52
Now that we have the value of x, we can substitute it into each of the answer choices to determine which equation also results in x=52.
Let's check each equation one by one:
1. x+12=−40
Substitute x=52:
52+12=−40
This equation is not true, so it is not the correct answer.
2. x/4=13
Substitute x=52:
52/4=13
This equation is true, so it is a possible solution.
3. 12−x=40
Substitute x=52:
12−52=40
This equation is not true, so it is not the correct answer.
4. x/2=14
Substitute x=52:
52/2=14
This equation is true, so it is a possible solution.
Based on the checked equations, the equations x/4=13 and x/2=14 both have the same solution for x as the equation x−12=40.