Which of the following equations has a solution of −8?(1 point)
Responses
x − 10 = 2
x minus 10 equals 2
x + 3 = −11
x plus 3 equals negative 11
x − 8 = 0
x minus 8 equals 0
x − 4 = −12
x minus 8 equals 0
To find the equation with a solution of -8, we need to substitute -8 for x in each equation and see which one is true.
1) x - 10 = 2
Substituting -8 for x: -8 - 10 = 2
-18 = 2
This equation is not true, so it is not the correct one.
2) x + 3 = -11
Substituting -8 for x: -8 + 3 = -11
-5 = -11
This equation is also not true, so it is not the correct one.
3) x - 8 = 0
Substituting -8 for x: -8 - 8 = 0
-16 = 0
This equation is not true, so it is not the correct one either.
4) x - 4 = -12
Substituting -8 for x: -8 - 4 = -12
-12 = -12
This equation is true, so it is the correct one.
Therefore, the equation with a solution of -8 is x - 4 = -12.
To determine which of the following equations has a solution of -8, we need to check if substituting -8 for x resolves the equation to a true statement. Let's go through each equation and check:
1. x - 10 = 2
To see if -8 is a solution, substitute -8 for x: (-8) - 10 = 2.
Simplifying, we have -18 = 2 which is not a true statement. So, this equation does not have -8 as a solution.
2. x + 3 = -11
Substituting -8 for x: (-8) + 3 = -11.
Simplifying, we have -5 = -11 which is also not a true statement. Therefore, this equation does not have -8 as a solution.
3. x - 8 = 0
Using the same process of substitution: (-8) - 8 = 0.
Simplifying, we have -16 = 0, which is not a true statement. So, this equation also does not have -8 as a solution.
4. x - 4 = -12
Plugging in -8 for x: (-8) - 4 = -12.
Simplifying, we have -12 = -12, which is a true statement. Therefore, this equation has -8 as a solution.
In summary, the equation x - 4 = -12 is the one that has a solution of -8.