Which of the following equations has a solution of −8 ?(1 point) Responses x − 8 = 0 x minus 8 equals 0 x − 10 = 2 x minus 10 equals 2 x + 3 = −11 x plus 3 equals negative 11 x − 4 = −12
The equation x - 8 = 0 has a solution of -8.
To determine which equation has a solution of -8, we can substitute -8 into each equation and solve for x:
1. x - 8 = 0:
Substituting -8: -8 - 8 = 0
Simplifying: -16 = 0
Since -16 is not equal to 0, this equation does not have a solution of -8.
2. x - 10 = 2:
Substituting -8: -8 - 10 = 2
Simplifying: -18 = 2
Since -18 is not equal to 2, this equation does not have a solution of -8.
3. x + 3 = -11:
Substituting -8: -8 + 3 = -11
Simplifying: -5 = -11
Since -5 is not equal to -11, this equation does not have a solution of -8.
4. x - 4 = -12:
Substituting -8: -8 - 4 = -12
Simplifying: -12 = -12
Since -12 is equal to -12, this equation has a solution of -8.
Therefore, the equation x - 4 = -12 has a solution of -8.
To determine which equation has a solution of -8, we need to substitute -8 for the variable in each equation and see which equation gives us a true statement.
Let's go through the options:
1. x - 8 = 0: Substitute -8 for x: -8 - 8 = 0. This simplifies to -16 = 0, which is not true. Therefore, this equation does not have a solution of -8.
2. x - 10 = 2: Substitute -8 for x: -8 - 10 = 2. This simplifies to -18 = 2, which is not true. So, this equation does not have a solution of -8 either.
3. x + 3 = -11: Substitute -8 for x: -8 + 3 = -11. This simplifies to -5 = -11, which is not true. Therefore, this equation does not have a solution of -8.
4. x - 4 = -12: Substitute -8 for x: -8 - 4 = -12. This simplifies to -12 = -12, which is true. Hence, this equation has a solution of -8.
In conclusion, the equation x - 4 = -12 has a solution of -8.