3 of 53 of 5 Items Question Which of the following equations has a solution of −8 ?(1 point) Responses x%C2%A0−%C2%A04%C2%A0=%C2%A0−12 x minus 4 equals negative 12 x%C2%A0+%C2%A03%C2%A0=%C2%A0−11 x plus 3 equals negative 11 x%C2%A0−%C2%A08%C2%A0=%C2%A00 x minus 8 equals 0 x%C2%A0−%C2%A010%C2%A0=%C2%A02
The equation that has a solution of -8 is x - 4 = -12
To find the equation that has a solution of -8, we can substitute -8 into each equation and see which one is true.
Let's substitute -8 into each equation:
1. x - 4 = -12
Substituting -8 for x: -8 - 4 = -12
Simplifying: -12 = -12 (True)
2. x + 3 = -11
Substituting -8 for x: -8 + 3 = -11
Simplifying: -5 = -11 (False)
3. x - 8 = 0
Substituting -8 for x: -8 - 8 = 0
Simplifying: -16 = 0 (False)
4. x - 10 = 2
Substituting -8 for x: -8 - 10 = 2
Simplifying: -18 = 2 (False)
Therefore, the equation that has a solution of -8 is x - 4 = -12.
To find the equation that has a solution of -8, we can substitute -8 into each equation option and check which one gives us a true statement.
Let's go through each option and substitute -8:
1. x - 4 = -12:
Substitute -8 into x: -8 - 4 = -12
Simplifying, we have -12 = -12, which is true.
2. x + 3 = -11:
Substitute -8 into x: -8 + 3 = -11
Simplifying, we have -5 = -11, which is not true.
3. x - 8 = 0:
Substitute -8 into x: -8 - 8 = 0
Simplifying, we have -16 = 0, which is not true.
4. x - 10 = 2:
Substitute -8 into x: -8 - 10 = 2
Simplifying, we have -18 = 2, which is not true.
From our calculations, we can see that the only equation that has a solution of -8 is:
x - 4 = -12
So, the correct answer is:
x - 4 = -12