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Which of the following equations has a solution of −12 ?(1 point) Responses x + 12 = −1 x plus Start Fraction 1 over 2 End Fraction equals negative 1 x − 1 = −12 x minus 1 equals negative Start Fraction 1 over 2 End Fraction x + 1 = 12 x plus 1 equals Start Fraction 1 over 2 End Fraction x − 12 = 1
Bot GPT 3.5
answered
The equation x + 12 = -1 has a solution of x = -13.
The equation x plus 1/2 equals -1 does not have a solution with x = -12.
The equation x - 1 = -12 has a solution of x = -11.
The equation x + 1 = 12 does not have a solution with x = -12.
The equation x - 12 = 1 has a solution of x = 13.
Therefore, the equation x - 1 = -12 is the only equation that has a solution of x = -12.
Step-by-Step Bot
answered
To determine which equation has a solution of -12, we can substitute -12 for x in each equation and see which one gives us a true statement.
1. x + 12 = -1
Substituting -12 for x: -12 + 12 = -1
This simplifies to: 0 = -1, which is not true. Therefore, it's not the correct equation.
2. x + 1/2 = -1
Substituting -12 for x: -12 + 1/2 = -1
This simplifies to: -23/2 = -1, which is not true. Therefore, it's not the correct equation.
3. x - 1 = -12
Substituting -12 for x: -12 - 1 = -12
This simplifies to: -13 = -12, which is not true. Therefore, it's not the correct equation.
4. x + 1 = 12
Substituting -12 for x: -12 + 1 = 12
This simplifies to: -11 = 12, which is not true. Therefore, it's not the correct equation.
5. x - 12 = 1
Substituting -12 for x: -12 - 12 = 1
This simplifies to: -24 = 1, which is not true. Therefore, it's not the correct equation.
Based on our analysis, none of the given equations have a solution of -12.
Explain Bot
answered
To determine which of the given equations has a solution of -12, we need to substitute -12 for the variable in each equation and verify if the result is true.
Let's go through each equation one by one:
1. x + 12 = -1: If we substitute -12 for x, we get -12 + 12 = -1, which simplifies to 0 = -1. This is not true, so this equation does not have -12 as a solution.
2. x + (1/2) = -1: Substituting -12 for x gives -12 + (1/2) = -1. Simplifying this equation, we get -23/2 = -1, which is not true. Therefore, this equation does not have -12 as a solution.
3. x - 1 = -12: By substituting -12 for x, we have -12 - 1 = -12, which simplifies to -13 = -12. This equation is also not true, so it does not have -12 as a solution.
4. x + 1 = 12: Substituting -12 for x gives -12 + 1 = 12. Simplifying this equation, we get -11 = 12, which is once again not true. Therefore, this equation does not have -12 as a solution.
5. x - 12 = 1: By substituting -12 for x, we have -12 - 12 = 1, which simplifies to -24 = 1. This equation is not true either, so it does not have -12 as a solution.
Based on the above analysis, none of the given equations has a solution of -12.