Which of the following equations has a solution of −12 ?(1 point)
Responses
x − 1 = −12
x minus 1 equals negative Start Fraction 1 over 2 End Fraction
x − 12 = 1
x minus Start Fraction 1 over 2 End Fraction equals 1
x + 1 = 12
x plus 1 equals Start Fraction 1 over 2 End Fraction
x + 12 = −1
None of the given equations have a solution of -12.
To determine which equation has a solution of -12, we need to substitute -12 for x in each equation given and see which one makes the equation true.
Let's go through each option:
1) x - 1 = -12
Substituting x = -12:
-12 - 1 = -12
-13 = -12
The equation is not true.
2) x minus 1 equals negative Start Fraction 1 over 2 End Fraction
This equation is unclear. Please provide a clear representation of the equation.
3) x - 12 = 1
Substituting x = -12:
-12 - 12 = 1
-24 = 1
The equation is not true.
4) x + 1 = 12
Substituting x = -12:
-12 + 1 = 12
-11 = 12
The equation is not true.
Therefore, none of the given equations have a solution of -12.
To determine which equation has a solution of -12, we need to evaluate each equation by substituting -12 for x and checking if both sides of the equation are equal. Let's go through each equation one by one:
1. x - 1 = -12
To check if this equation has a solution of -12, we substitute -12 for x on the left side of the equation:
-12 - 1 = -13
Since -13 is not equal to -12, this equation does not have a solution of -12.
2. x minus 1 equals -1/2
Similarly, we substitute -12 for x on the left side of the equation:
-12 - 1 = -13
-13 is not equal to -1/2, so this equation does not have a solution of -12.
3. x - 12 = 1
Substituting -12 for x on the left side:
-12 - 12 = -24
-24 is not equal to 1, so this equation does not have a solution of -12.
4. x + 1 equals 12
Substituting -12 for x on the left side:
-12 + 1 = -11
-11 is not equal to 12, so this equation does not have a solution of -12.
From the analysis above, none of the given equations have a solution of -12.