Which of the following equations has a solution of −8 ?(1 point)Responses
x-10=2
x-4=-12
x-8=0
x+3=-11
The equation x+3=-11 has a solution of -8.
To determine which equation has a solution of -8, we need to substitute -8 for x in each equation and see which equation results in a true statement.
1. x - 10 = 2
Substituting -8 for x: (-8) - 10 = 2
Simplifying: -18 = 2
This equation is not true, so -8 is not a solution for this equation.
2. x - 4 = -12
Substituting -8 for x: (-8) - 4 = -12
Simplifying: -12 = -12
This equation is true, so -8 is a solution for this equation.
3. x - 8 = 0
Substituting -8 for x: (-8) - 8 = 0
Simplifying: -16 = 0
This equation is not true, so -8 is not a solution for this equation.
4. x + 3 = -11
Substituting -8 for x: (-8) + 3 = -11
Simplifying: -5 = -11
This equation is not true, so -8 is not a solution for this equation.
Therefore, the equation that has a solution of -8 is x - 4 = -12.
To find out which equation has a solution of -8, we need to substitute -8 into each equation and see which one satisfies the equation.
1. x - 10 = 2:
Substituting -8 into the equation, we get:
(-8) - 10 = 2
-18 = 2
This equation is false when x = -8.
2. x - 4 = -12:
Substituting -8 into the equation:
(-8) - 4 = -12
-12 = -12
This equation is true when x = -8.
3. x - 8 = 0:
Substituting -8 into the equation:
(-8) - 8 = 0
-16 = 0
This equation is false when x = -8.
4. x + 3 = -11:
Substituting -8 into the equation:
(-8) + 3 = -11
-5 = -11
This equation is false when x = -8.
Therefore, the equation that has a solution of -8 is x - 4 = -12.