Which of the following equations has a solution of -8?
x-4=-12
x+3=-11
x-8=0
x-10=2
To find which equation has a solution of -8, we can substitute -8 into each equation and see which one is true.
1) x-4=-12
Replacing x with -8:
-8 - 4 = -12
-12 = -12
This equation is true, so -8 is a solution to this equation.
2) x+3=-11
Replacing x with -8:
-8 + 3 = -11
-5 = -11
This equation is not true, so -8 is not a solution to this equation.
3) x-8=0
Replacing x with -8:
-8 - 8 = 0
-16 = 0
This equation is not true, so -8 is not a solution to this equation.
4) x-10=2
Replacing x with -8:
-8 - 10 = 2
-18 = 2
This equation is not true, so -8 is not a solution to this equation.
Therefore, the equation x-4=-12 has a solution of -8.
To determine which equation has a solution of -8, we can solve each equation for x and see if -8 is a solution.
1. x - 4 = -12:
Adding 4 to both sides, we get x = -8 + 4 = -4.
-8 is not a solution to this equation.
2. x + 3 = -11:
Subtracting 3 from both sides, we get x = -11 - 3 = -14.
-8 is not a solution to this equation.
3. x - 8 = 0:
Adding 8 to both sides, we get x = 0 + 8 = 8.
-8 is not a solution to this equation.
4. x - 10 = 2:
Adding 10 to both sides, we get x = 2 + 10 = 12.
-8 is not a solution to this equation.
Therefore, none of the given equations has a solution of -8.
To find which equation has a solution of -8, we need to substitute -8 for x in each equation and check if it satisfies the equation.
Let's go through each equation:
Equation 1: x - 4 = -12
Substitute x = -8:
-8 - 4 = -12
-12 = -12
The equation is true when x = -8.
Equation 2: x + 3 = -11
Substitute x = -8:
-8 + 3 = -11
-5 = -11
The equation is not true when x = -8.
Equation 3: x - 8 = 0
Substitute x = -8:
-8 - 8 = 0
-16 = 0
The equation is not true when x = -8.
Equation 4: x - 10 = 2
Substitute x = -8:
-8 - 10 = 2
-18 = 2
The equation is not true when x = -8.
Only Equation 1, x - 4 = -12, is true when x = -8. Therefore, the equation that has a solution of -8 is x - 4 = -12.