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 − 4 = −12
x minus 4 equals negative 12
x + 3 = −11
x plus 3 equals negative 11
The equation "x − 8 = 0" has a solution of −8.
To determine which equation has a solution of -8, we can substitute -8 for x in each equation and see which one satisfies the equation.
Let's go through each equation:
1. x - 8 = 0
Substituting -8 for x: (-8) - 8 = 0
Simplifying: -8 - 8 = 0
Result: -16 = 0. This equation is not true, so -8 is not a solution.
2. x - 10 = 2
Substituting -8 for x: (-8) - 10 = 2
Simplifying: -8 - 10 = 2
Result: -18 = 2. This equation is not true, so -8 is not a solution.
3. x - 4 = -12
Substituting -8 for x: (-8) - 4 = -12
Simplifying: -8 - 4 = -12
Result: -12 = -12. This equation is true, so -8 is a solution.
4. x + 3 = -11
Substituting -8 for x: (-8) + 3 = -11
Simplifying: -8 + 3 = -11
Result: -5 = -11. This equation is not true, so -8 is not a solution.
Therefore, the equation x - 4 = -12 has a solution of -8.
To find the equation that has a solution of -8, we need to substitute -8 into each equation and see which one makes the equation true. Let's go through each equation and check the solutions:
1. x - 8 = 0
Substituting -8 into this equation: -8 - 8 = 0
This equation is not true, so -8 is not the solution to this equation.
2. x - 10 = 2
Substituting -8 into this equation: -8 - 10 = 2
This equation is also not true, so -8 is not the solution to this equation either.
3. x - 4 = -12
Substituting -8 into this equation: -8 - 4 = -12
This equation is true, so -8 is indeed the solution to this equation.
4. x + 3 = -11
Substituting -8 into this equation: -8 + 3 = -11
This equation is not true, so -8 is not the solution to this equation.
Therefore, the equation that has a solution of -8 is x - 4 = -12 (the third equation).